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Finding the Fourth Proportional to 730.40, 1,095.67 and 243.49

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Solution

The fourth proportional to 730.40, 1,095.67 and 243.49 is: 365.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.40 : 1,095.67 = 243.49 : x
  2. Step 2: Convert to fraction form
    730.40/1,095.67 = 243.49/x
  3. Step 3: Cross multiply
    730.40x = 1,095.67 × 243.49
  4. Step 4: Simplify right side
    730.40x = 266,779.21
  5. Step 5: Solve for x
    x = 266,779.21/730.40
  6. Step 6: Final answer
    x = 365.25

Related Problems

Find fourth proportional to 365.20, 547.84 and 121.74
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.