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Finding the Fourth Proportional to 462.31, 637.90 and 263.14

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Solution

The fourth proportional to 462.31, 637.90 and 263.14 is: 363.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.31 : 637.90 = 263.14 : x
  2. Step 2: Convert to fraction form
    462.31/637.90 = 263.14/x
  3. Step 3: Cross multiply
    462.31x = 637.90 × 263.14
  4. Step 4: Simplify right side
    462.31x = 167,854.75
  5. Step 5: Solve for x
    x = 167,854.75/462.31
  6. Step 6: Final answer
    x = 363.08

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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.