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Finding the Fourth Proportional to 724.98, 1,087.36 and 334.97

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Solution

The fourth proportional to 724.98, 1,087.36 and 334.97 is: 502.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.98 : 1,087.36 = 334.97 : x
  2. Step 2: Convert to fraction form
    724.98/1,087.36 = 334.97/x
  3. Step 3: Cross multiply
    724.98x = 1,087.36 × 334.97
  4. Step 4: Simplify right side
    724.98x = 364,230.78
  5. Step 5: Solve for x
    x = 364,230.78/724.98
  6. Step 6: Final answer
    x = 502.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.