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Finding the Fourth Proportional to 724.48, 999.84 and 414

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Solution

The fourth proportional to 724.48, 999.84 and 414 is: 571.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.48 : 999.84 = 414 : x
  2. Step 2: Convert to fraction form
    724.48/999.84 = 414/x
  3. Step 3: Cross multiply
    724.48x = 999.84 × 414
  4. Step 4: Simplify right side
    724.48x = 413,933.76
  5. Step 5: Solve for x
    x = 413,933.76/724.48
  6. Step 6: Final answer
    x = 571.35

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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.