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Finding the Fourth Proportional to 730.24, 1,007.66 and 411.19

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Solution

The fourth proportional to 730.24, 1,007.66 and 411.19 is: 567.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.24 : 1,007.66 = 411.19 : x
  2. Step 2: Convert to fraction form
    730.24/1,007.66 = 411.19/x
  3. Step 3: Cross multiply
    730.24x = 1,007.66 × 411.19
  4. Step 4: Simplify right side
    730.24x = 414,342.00
  5. Step 5: Solve for x
    x = 414,342.00/730.24
  6. Step 6: Final answer
    x = 567.40

Related Problems

Find fourth proportional to 365.12, 503.83 and 205.60
Half scale
Find fourth proportional to 1,460.48, 2,015.33 and 822.38
Double scale
Find fourth proportional to 731.24, 1,009.04 and 412.19
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.