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Finding the Fourth Proportional to 500.11, 686.48 and 443.61

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Solution

The fourth proportional to 500.11, 686.48 and 443.61 is: 608.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.11 : 686.48 = 443.61 : x
  2. Step 2: Convert to fraction form
    500.11/686.48 = 443.61/x
  3. Step 3: Cross multiply
    500.11x = 686.48 × 443.61
  4. Step 4: Simplify right side
    500.11x = 304,527.17
  5. Step 5: Solve for x
    x = 304,527.17/500.11
  6. Step 6: Final answer
    x = 608.92

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.