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Finding the Fourth Proportional to 729.44, 1,006.39 and 414.71

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Solution

The fourth proportional to 729.44, 1,006.39 and 414.71 is: 572.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.44 : 1,006.39 = 414.71 : x
  2. Step 2: Convert to fraction form
    729.44/1,006.39 = 414.71/x
  3. Step 3: Cross multiply
    729.44x = 1,006.39 × 414.71
  4. Step 4: Simplify right side
    729.44x = 417,360.00
  5. Step 5: Solve for x
    x = 417,360.00/729.44
  6. Step 6: Final answer
    x = 572.16

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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.