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Finding the Fourth Proportional to 500.80, 691.68 and 398.56

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Solution

The fourth proportional to 500.80, 691.68 and 398.56 is: 550.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.80 : 691.68 = 398.56 : x
  2. Step 2: Convert to fraction form
    500.80/691.68 = 398.56/x
  3. Step 3: Cross multiply
    500.80x = 691.68 × 398.56
  4. Step 4: Simplify right side
    500.80x = 275,675.98
  5. Step 5: Solve for x
    x = 275,675.98/500.80
  6. Step 6: Final answer
    x = 550.47

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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.