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Finding the Fourth Proportional to 462.46, 638.18 and 296.61

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Solution

The fourth proportional to 462.46, 638.18 and 296.61 is: 409.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.46 : 638.18 = 296.61 : x
  2. Step 2: Convert to fraction form
    462.46/638.18 = 296.61/x
  3. Step 3: Cross multiply
    462.46x = 638.18 × 296.61
  4. Step 4: Simplify right side
    462.46x = 189,291.40
  5. Step 5: Solve for x
    x = 189,291.40/462.46
  6. Step 6: Final answer
    x = 409.31

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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.