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Finding the Fourth Proportional to 512.52, 707.57 and 338.17

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Solution

The fourth proportional to 512.52, 707.57 and 338.17 is: 466.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.52 : 707.57 = 338.17 : x
  2. Step 2: Convert to fraction form
    512.52/707.57 = 338.17/x
  3. Step 3: Cross multiply
    512.52x = 707.57 × 338.17
  4. Step 4: Simplify right side
    512.52x = 239,275.49
  5. Step 5: Solve for x
    x = 239,275.49/512.52
  6. Step 6: Final answer
    x = 466.86

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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.