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Finding the Fourth Proportional to 500.66, 691.17 and 345.14

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Solution

The fourth proportional to 500.66, 691.17 and 345.14 is: 476.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.66 : 691.17 = 345.14 : x
  2. Step 2: Convert to fraction form
    500.66/691.17 = 345.14/x
  3. Step 3: Cross multiply
    500.66x = 691.17 × 345.14
  4. Step 4: Simplify right side
    500.66x = 238,550.41
  5. Step 5: Solve for x
    x = 238,550.41/500.66
  6. Step 6: Final answer
    x = 476.47

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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.