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Finding the Fourth Proportional to 462.45, 638.06 and 285.48

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Solution

The fourth proportional to 462.45, 638.06 and 285.48 is: 393.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.45 : 638.06 = 285.48 : x
  2. Step 2: Convert to fraction form
    462.45/638.06 = 285.48/x
  3. Step 3: Cross multiply
    462.45x = 638.06 × 285.48
  4. Step 4: Simplify right side
    462.45x = 182,151.94
  5. Step 5: Solve for x
    x = 182,151.94/462.45
  6. Step 6: Final answer
    x = 393.88

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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.