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Finding the Fourth Proportional to 729.98, 1,007.28 and 415.28

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Solution

The fourth proportional to 729.98, 1,007.28 and 415.28 is: 573.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.98 : 1,007.28 = 415.28 : x
  2. Step 2: Convert to fraction form
    729.98/1,007.28 = 415.28/x
  3. Step 3: Cross multiply
    729.98x = 1,007.28 × 415.28
  4. Step 4: Simplify right side
    729.98x = 418,308.57
  5. Step 5: Solve for x
    x = 418,308.57/729.98
  6. Step 6: Final answer
    x = 573.04

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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.