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Finding the Fourth Proportional to 462.47, 638.21 and 255.47

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Solution

The fourth proportional to 462.47, 638.21 and 255.47 is: 352.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.47 : 638.21 = 255.47 : x
  2. Step 2: Convert to fraction form
    462.47/638.21 = 255.47/x
  3. Step 3: Cross multiply
    462.47x = 638.21 × 255.47
  4. Step 4: Simplify right side
    462.47x = 163,043.35
  5. Step 5: Solve for x
    x = 163,043.35/462.47
  6. Step 6: Final answer
    x = 352.55

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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.