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Finding the Fourth Proportional to 723.92, 999.07 and 429.26

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Solution

The fourth proportional to 723.92, 999.07 and 429.26 is: 592.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.92 : 999.07 = 429.26 : x
  2. Step 2: Convert to fraction form
    723.92/999.07 = 429.26/x
  3. Step 3: Cross multiply
    723.92x = 999.07 × 429.26
  4. Step 4: Simplify right side
    723.92x = 428,860.79
  5. Step 5: Solve for x
    x = 428,860.79/723.92
  6. Step 6: Final answer
    x = 592.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.