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Finding the Fourth Proportional to 500.82, 691.39 and 314.59

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Solution

The fourth proportional to 500.82, 691.39 and 314.59 is: 434.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.82 : 691.39 = 314.59 : x
  2. Step 2: Convert to fraction form
    500.82/691.39 = 314.59/x
  3. Step 3: Cross multiply
    500.82x = 691.39 × 314.59
  4. Step 4: Simplify right side
    500.82x = 217,499.35
  5. Step 5: Solve for x
    x = 217,499.35/500.82
  6. Step 6: Final answer
    x = 434.29

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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.