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Finding the Fourth Proportional to 363.30, 542.33 and 308.61

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Solution

The fourth proportional to 363.30, 542.33 and 308.61 is: 460.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.30 : 542.33 = 308.61 : x
  2. Step 2: Convert to fraction form
    363.30/542.33 = 308.61/x
  3. Step 3: Cross multiply
    363.30x = 542.33 × 308.61
  4. Step 4: Simplify right side
    363.30x = 167,369.23
  5. Step 5: Solve for x
    x = 167,369.23/363.30
  6. Step 6: Final answer
    x = 460.69

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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.