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Finding the Fourth Proportional to 462.70, 638.46 and 297.13

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Solution

The fourth proportional to 462.70, 638.46 and 297.13 is: 410.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.70 : 638.46 = 297.13 : x
  2. Step 2: Convert to fraction form
    462.70/638.46 = 297.13/x
  3. Step 3: Cross multiply
    462.70x = 638.46 × 297.13
  4. Step 4: Simplify right side
    462.70x = 189,708.80
  5. Step 5: Solve for x
    x = 189,708.80/462.70
  6. Step 6: Final answer
    x = 410.01

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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.