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Finding the Fourth Proportional to 723.92, 999.10 and 429.30

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Solution

The fourth proportional to 723.92, 999.10 and 429.30 is: 592.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.92 : 999.10 = 429.30 : x
  2. Step 2: Convert to fraction form
    723.92/999.10 = 429.30/x
  3. Step 3: Cross multiply
    723.92x = 999.10 × 429.30
  4. Step 4: Simplify right side
    723.92x = 428,913.63
  5. Step 5: Solve for x
    x = 428,913.63/723.92
  6. Step 6: Final answer
    x = 592.49

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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.