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Finding the Fourth Proportional to 462.33, 638.15 and 285.35

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Solution

The fourth proportional to 462.33, 638.15 and 285.35 is: 393.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.33 : 638.15 = 285.35 : x
  2. Step 2: Convert to fraction form
    462.33/638.15 = 285.35/x
  3. Step 3: Cross multiply
    462.33x = 638.15 × 285.35
  4. Step 4: Simplify right side
    462.33x = 182,091.49
  5. Step 5: Solve for x
    x = 182,091.49/462.33
  6. Step 6: Final answer
    x = 393.86

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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.