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Finding the Fourth Proportional to 502.14, 691.86 and 377.76

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Solution

The fourth proportional to 502.14, 691.86 and 377.76 is: 520.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.14 : 691.86 = 377.76 : x
  2. Step 2: Convert to fraction form
    502.14/691.86 = 377.76/x
  3. Step 3: Cross multiply
    502.14x = 691.86 × 377.76
  4. Step 4: Simplify right side
    502.14x = 261,357.03
  5. Step 5: Solve for x
    x = 261,357.03/502.14
  6. Step 6: Final answer
    x = 520.49

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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.