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Finding the Fourth Proportional to 462.27, 637.97 and 265.78

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Solution

The fourth proportional to 462.27, 637.97 and 265.78 is: 366.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.27 : 637.97 = 265.78 : x
  2. Step 2: Convert to fraction form
    462.27/637.97 = 265.78/x
  3. Step 3: Cross multiply
    462.27x = 637.97 × 265.78
  4. Step 4: Simplify right side
    462.27x = 169,559.67
  5. Step 5: Solve for x
    x = 169,559.67/462.27
  6. Step 6: Final answer
    x = 366.80

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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.