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Finding the Fourth Proportional to 502.06, 691.60 and 428.62

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Solution

The fourth proportional to 502.06, 691.60 and 428.62 is: 590.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.06 : 691.60 = 428.62 : x
  2. Step 2: Convert to fraction form
    502.06/691.60 = 428.62/x
  3. Step 3: Cross multiply
    502.06x = 691.60 × 428.62
  4. Step 4: Simplify right side
    502.06x = 296,427.99
  5. Step 5: Solve for x
    x = 296,427.99/502.06
  6. Step 6: Final answer
    x = 590.43

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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.