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Finding the Fourth Proportional to 458.73, 633.06 and 272.25

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Solution

The fourth proportional to 458.73, 633.06 and 272.25 is: 375.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.73 : 633.06 = 272.25 : x
  2. Step 2: Convert to fraction form
    458.73/633.06 = 272.25/x
  3. Step 3: Cross multiply
    458.73x = 633.06 × 272.25
  4. Step 4: Simplify right side
    458.73x = 172,350.59
  5. Step 5: Solve for x
    x = 172,350.59/458.73
  6. Step 6: Final answer
    x = 375.71

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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.