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Finding the Fourth Proportional to 410.73, 615.48 and 273.29

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Solution

The fourth proportional to 410.73, 615.48 and 273.29 is: 409.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.73 : 615.48 = 273.29 : x
  2. Step 2: Convert to fraction form
    410.73/615.48 = 273.29/x
  3. Step 3: Cross multiply
    410.73x = 615.48 × 273.29
  4. Step 4: Simplify right side
    410.73x = 168,204.53
  5. Step 5: Solve for x
    x = 168,204.53/410.73
  6. Step 6: Final answer
    x = 409.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.