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Finding the Fourth Proportional to 462.46, 636.33 and 451.52

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Solution

The fourth proportional to 462.46, 636.33 and 451.52 is: 621.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.46 : 636.33 = 451.52 : x
  2. Step 2: Convert to fraction form
    462.46/636.33 = 451.52/x
  3. Step 3: Cross multiply
    462.46x = 636.33 × 451.52
  4. Step 4: Simplify right side
    462.46x = 287,315.72
  5. Step 5: Solve for x
    x = 287,315.72/462.46
  6. Step 6: Final answer
    x = 621.28

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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.