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Finding the Fourth Proportional to 462.53, 638.25 and 275.98

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Solution

The fourth proportional to 462.53, 638.25 and 275.98 is: 380.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.53 : 638.25 = 275.98 : x
  2. Step 2: Convert to fraction form
    462.53/638.25 = 275.98/x
  3. Step 3: Cross multiply
    462.53x = 638.25 × 275.98
  4. Step 4: Simplify right side
    462.53x = 176,144.00
  5. Step 5: Solve for x
    x = 176,144.00/462.53
  6. Step 6: Final answer
    x = 380.83

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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.