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Finding the Fourth Proportional to 517.32, 713.88 and 284.44

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Solution

The fourth proportional to 517.32, 713.88 and 284.44 is: 392.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.32 : 713.88 = 284.44 : x
  2. Step 2: Convert to fraction form
    517.32/713.88 = 284.44/x
  3. Step 3: Cross multiply
    517.32x = 713.88 × 284.44
  4. Step 4: Simplify right side
    517.32x = 203,056.03
  5. Step 5: Solve for x
    x = 203,056.03/517.32
  6. Step 6: Final answer
    x = 392.52

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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.