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Finding the Fourth Proportional to 729.06, 1,006.25 and 414.47

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Solution

The fourth proportional to 729.06, 1,006.25 and 414.47 is: 572.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.06 : 1,006.25 = 414.47 : x
  2. Step 2: Convert to fraction form
    729.06/1,006.25 = 414.47/x
  3. Step 3: Cross multiply
    729.06x = 1,006.25 × 414.47
  4. Step 4: Simplify right side
    729.06x = 417,060.44
  5. Step 5: Solve for x
    x = 417,060.44/729.06
  6. Step 6: Final answer
    x = 572.05

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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.