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Finding the Fourth Proportional to 363.33, 542.66 and 314.73

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Solution

The fourth proportional to 363.33, 542.66 and 314.73 is: 470.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.33 : 542.66 = 314.73 : x
  2. Step 2: Convert to fraction form
    363.33/542.66 = 314.73/x
  3. Step 3: Cross multiply
    363.33x = 542.66 × 314.73
  4. Step 4: Simplify right side
    363.33x = 170,791.38
  5. Step 5: Solve for x
    x = 170,791.38/363.33
  6. Step 6: Final answer
    x = 470.07

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.