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Finding the Fourth Proportional to 724, 998.96 and 429.28

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Solution

The fourth proportional to 724, 998.96 and 429.28 is: 592.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    724 : 998.96 = 429.28 : x
  2. Step 2: Convert to fraction form
    724/998.96 = 429.28/x
  3. Step 3: Cross multiply
    724x = 998.96 × 429.28
  4. Step 4: Simplify right side
    724x = 428,833.55
  5. Step 5: Solve for x
    x = 428,833.55/724
  6. Step 6: Final answer
    x = 592.31

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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.