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Finding the Fourth Proportional to 512.52, 763.92 and 495.65

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Solution

The fourth proportional to 512.52, 763.92 and 495.65 is: 738.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.52 : 763.92 = 495.65 : x
  2. Step 2: Convert to fraction form
    512.52/763.92 = 495.65/x
  3. Step 3: Cross multiply
    512.52x = 763.92 × 495.65
  4. Step 4: Simplify right side
    512.52x = 378,633.63
  5. Step 5: Solve for x
    x = 378,633.63/512.52
  6. Step 6: Final answer
    x = 738.77

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.