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Finding the Fourth Proportional to 462.58, 638.10 and 275.78

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Solution

The fourth proportional to 462.58, 638.10 and 275.78 is: 380.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.58 : 638.10 = 275.78 : x
  2. Step 2: Convert to fraction form
    462.58/638.10 = 275.78/x
  3. Step 3: Cross multiply
    462.58x = 638.10 × 275.78
  4. Step 4: Simplify right side
    462.58x = 175,976.81
  5. Step 5: Solve for x
    x = 175,976.81/462.58
  6. Step 6: Final answer
    x = 380.43

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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.