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Finding the Fourth Proportional to 508.62, 701.67 and 309.42

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Solution

The fourth proportional to 508.62, 701.67 and 309.42 is: 426.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.62 : 701.67 = 309.42 : x
  2. Step 2: Convert to fraction form
    508.62/701.67 = 309.42/x
  3. Step 3: Cross multiply
    508.62x = 701.67 × 309.42
  4. Step 4: Simplify right side
    508.62x = 217,110.73
  5. Step 5: Solve for x
    x = 217,110.73/508.62
  6. Step 6: Final answer
    x = 426.86

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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.