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Finding the Fourth Proportional to 519.52, 717.20 and 364.32

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Solution

The fourth proportional to 519.52, 717.20 and 364.32 is: 502.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.52 : 717.20 = 364.32 : x
  2. Step 2: Convert to fraction form
    519.52/717.20 = 364.32/x
  3. Step 3: Cross multiply
    519.52x = 717.20 × 364.32
  4. Step 4: Simplify right side
    519.52x = 261,290.30
  5. Step 5: Solve for x
    x = 261,290.30/519.52
  6. Step 6: Final answer
    x = 502.95

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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.