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Finding the Fourth Proportional to 730.22, 1,007.57 and 411.10

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Solution

The fourth proportional to 730.22, 1,007.57 and 411.10 is: 567.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.22 : 1,007.57 = 411.10 : x
  2. Step 2: Convert to fraction form
    730.22/1,007.57 = 411.10/x
  3. Step 3: Cross multiply
    730.22x = 1,007.57 × 411.10
  4. Step 4: Simplify right side
    730.22x = 414,212.03
  5. Step 5: Solve for x
    x = 414,212.03/730.22
  6. Step 6: Final answer
    x = 567.24

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Double scale
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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.