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Finding the Fourth Proportional to 415.05, 572.27 and 356.73

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Solution

The fourth proportional to 415.05, 572.27 and 356.73 is: 491.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.05 : 572.27 = 356.73 : x
  2. Step 2: Convert to fraction form
    415.05/572.27 = 356.73/x
  3. Step 3: Cross multiply
    415.05x = 572.27 × 356.73
  4. Step 4: Simplify right side
    415.05x = 204,144.09
  5. Step 5: Solve for x
    x = 204,144.09/415.05
  6. Step 6: Final answer
    x = 491.85

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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.