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Finding the Fourth Proportional to 462.31, 638.00 and 265.83

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Solution

The fourth proportional to 462.31, 638.00 and 265.83 is: 366.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.31 : 638.00 = 265.83 : x
  2. Step 2: Convert to fraction form
    462.31/638.00 = 265.83/x
  3. Step 3: Cross multiply
    462.31x = 638.00 × 265.83
  4. Step 4: Simplify right side
    462.31x = 169,596.82
  5. Step 5: Solve for x
    x = 169,596.82/462.31
  6. Step 6: Final answer
    x = 366.85

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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.