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Finding the Fourth Proportional to 462.54, 638.46 and 296.76

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Solution

The fourth proportional to 462.54, 638.46 and 296.76 is: 409.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.54 : 638.46 = 296.76 : x
  2. Step 2: Convert to fraction form
    462.54/638.46 = 296.76/x
  3. Step 3: Cross multiply
    462.54x = 638.46 × 296.76
  4. Step 4: Simplify right side
    462.54x = 189,469.39
  5. Step 5: Solve for x
    x = 189,469.39/462.54
  6. Step 6: Final answer
    x = 409.63

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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.