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Finding the Fourth Proportional to 500.81, 691.09 and 314.24

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Solution

The fourth proportional to 500.81, 691.09 and 314.24 is: 433.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.81 : 691.09 = 314.24 : x
  2. Step 2: Convert to fraction form
    500.81/691.09 = 314.24/x
  3. Step 3: Cross multiply
    500.81x = 691.09 × 314.24
  4. Step 4: Simplify right side
    500.81x = 217,163.88
  5. Step 5: Solve for x
    x = 217,163.88/500.81
  6. Step 6: Final answer
    x = 433.63

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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.