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Finding the Fourth Proportional to 724.12, 999.24 and 405.08

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Solution

The fourth proportional to 724.12, 999.24 and 405.08 is: 558.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.12 : 999.24 = 405.08 : x
  2. Step 2: Convert to fraction form
    724.12/999.24 = 405.08/x
  3. Step 3: Cross multiply
    724.12x = 999.24 × 405.08
  4. Step 4: Simplify right side
    724.12x = 404,767.62
  5. Step 5: Solve for x
    x = 404,767.62/724.12
  6. Step 6: Final answer
    x = 558.98

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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.