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Finding the Fourth Proportional to 729.22, 1,006.38 and 414.54

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Solution

The fourth proportional to 729.22, 1,006.38 and 414.54 is: 572.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.22 : 1,006.38 = 414.54 : x
  2. Step 2: Convert to fraction form
    729.22/1,006.38 = 414.54/x
  3. Step 3: Cross multiply
    729.22x = 1,006.38 × 414.54
  4. Step 4: Simplify right side
    729.22x = 417,177.66
  5. Step 5: Solve for x
    x = 417,177.66/729.22
  6. Step 6: Final answer
    x = 572.09

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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.