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Finding the Fourth Proportional to 462.61, 638.23 and 296.91

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Solution

The fourth proportional to 462.61, 638.23 and 296.91 is: 409.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.61 : 638.23 = 296.91 : x
  2. Step 2: Convert to fraction form
    462.61/638.23 = 296.91/x
  3. Step 3: Cross multiply
    462.61x = 638.23 × 296.91
  4. Step 4: Simplify right side
    462.61x = 189,496.87
  5. Step 5: Solve for x
    x = 189,496.87/462.61
  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.