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Finding the Fourth Proportional to 363.29, 542.13 and 304.97

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Solution

The fourth proportional to 363.29, 542.13 and 304.97 is: 455.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.29 : 542.13 = 304.97 : x
  2. Step 2: Convert to fraction form
    363.29/542.13 = 304.97/x
  3. Step 3: Cross multiply
    363.29x = 542.13 × 304.97
  4. Step 4: Simplify right side
    363.29x = 165,329.53
  5. Step 5: Solve for x
    x = 165,329.53/363.29
  6. Step 6: Final answer
    x = 455.10

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Why These Related Problems?

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