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Finding the Fourth Proportional to 517.05, 713.52 and 284.18

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Solution

The fourth proportional to 517.05, 713.52 and 284.18 is: 392.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.05 : 713.52 = 284.18 : x
  2. Step 2: Convert to fraction form
    517.05/713.52 = 284.18/x
  3. Step 3: Cross multiply
    517.05x = 713.52 × 284.18
  4. Step 4: Simplify right side
    517.05x = 202,764.55
  5. Step 5: Solve for x
    x = 202,764.55/517.05
  6. Step 6: Final answer
    x = 392.16

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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.