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Finding the Fourth Proportional to 462.13, 638.64 and 379.10

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Solution

The fourth proportional to 462.13, 638.64 and 379.10 is: 523.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.13 : 638.64 = 379.10 : x
  2. Step 2: Convert to fraction form
    462.13/638.64 = 379.10/x
  3. Step 3: Cross multiply
    462.13x = 638.64 × 379.10
  4. Step 4: Simplify right side
    462.13x = 242,108.42
  5. Step 5: Solve for x
    x = 242,108.42/462.13
  6. Step 6: Final answer
    x = 523.90

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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.