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Finding the Fourth Proportional to 488.27, 732.56 and 342.17

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Solution

The fourth proportional to 488.27, 732.56 and 342.17 is: 513.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.27 : 732.56 = 342.17 : x
  2. Step 2: Convert to fraction form
    488.27/732.56 = 342.17/x
  3. Step 3: Cross multiply
    488.27x = 732.56 × 342.17
  4. Step 4: Simplify right side
    488.27x = 250,654.68
  5. Step 5: Solve for x
    x = 250,654.68/488.27
  6. Step 6: Final answer
    x = 513.35

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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.