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Finding the Fourth Proportional to 458.73, 632.98 and 272.23

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Solution

The fourth proportional to 458.73, 632.98 and 272.23 is: 375.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.73 : 632.98 = 272.23 : x
  2. Step 2: Convert to fraction form
    458.73/632.98 = 272.23/x
  3. Step 3: Cross multiply
    458.73x = 632.98 × 272.23
  4. Step 4: Simplify right side
    458.73x = 172,314.90
  5. Step 5: Solve for x
    x = 172,314.90/458.73
  6. Step 6: Final answer
    x = 375.63

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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.