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Finding the Fourth Proportional to 500.79, 691.05 and 314.22

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Solution

The fourth proportional to 500.79, 691.05 and 314.22 is: 433.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.79 : 691.05 = 314.22 : x
  2. Step 2: Convert to fraction form
    500.79/691.05 = 314.22/x
  3. Step 3: Cross multiply
    500.79x = 691.05 × 314.22
  4. Step 4: Simplify right side
    500.79x = 217,141.73
  5. Step 5: Solve for x
    x = 217,141.73/500.79
  6. Step 6: Final answer
    x = 433.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.