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Finding the Fourth Proportional to 462.57, 638.31 and 266.14

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Solution

The fourth proportional to 462.57, 638.31 and 266.14 is: 367.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.57 : 638.31 = 266.14 : x
  2. Step 2: Convert to fraction form
    462.57/638.31 = 266.14/x
  3. Step 3: Cross multiply
    462.57x = 638.31 × 266.14
  4. Step 4: Simplify right side
    462.57x = 169,879.82
  5. Step 5: Solve for x
    x = 169,879.82/462.57
  6. Step 6: Final answer
    x = 367.25

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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.