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Finding the Fourth Proportional to 462.90, 638.76 and 255.90

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Solution

The fourth proportional to 462.90, 638.76 and 255.90 is: 353.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.90 : 638.76 = 255.90 : x
  2. Step 2: Convert to fraction form
    462.90/638.76 = 255.90/x
  3. Step 3: Cross multiply
    462.90x = 638.76 × 255.90
  4. Step 4: Simplify right side
    462.90x = 163,458.68
  5. Step 5: Solve for x
    x = 163,458.68/462.90
  6. Step 6: Final answer
    x = 353.12

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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.