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Finding the Fourth Proportional to 462.78, 638.33 and 296.73

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Solution

The fourth proportional to 462.78, 638.33 and 296.73 is: 409.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.78 : 638.33 = 296.73 : x
  2. Step 2: Convert to fraction form
    462.78/638.33 = 296.73/x
  3. Step 3: Cross multiply
    462.78x = 638.33 × 296.73
  4. Step 4: Simplify right side
    462.78x = 189,410.18
  5. Step 5: Solve for x
    x = 189,410.18/462.78
  6. Step 6: Final answer
    x = 409.29

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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.