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Finding the Fourth Proportional to 500.76, 691.92 and 468.36

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Solution

The fourth proportional to 500.76, 691.92 and 468.36 is: 647.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.76 : 691.92 = 468.36 : x
  2. Step 2: Convert to fraction form
    500.76/691.92 = 468.36/x
  3. Step 3: Cross multiply
    500.76x = 691.92 × 468.36
  4. Step 4: Simplify right side
    500.76x = 324,067.65
  5. Step 5: Solve for x
    x = 324,067.65/500.76
  6. Step 6: Final answer
    x = 647.15

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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.