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Finding the Fourth Proportional to 462.66, 638.61 and 296.97

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Solution

The fourth proportional to 462.66, 638.61 and 296.97 is: 409.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.66 : 638.61 = 296.97 : x
  2. Step 2: Convert to fraction form
    462.66/638.61 = 296.97/x
  3. Step 3: Cross multiply
    462.66x = 638.61 × 296.97
  4. Step 4: Simplify right side
    462.66x = 189,648.01
  5. Step 5: Solve for x
    x = 189,648.01/462.66
  6. Step 6: Final answer
    x = 409.91

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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.