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Finding the Fourth Proportional to 393.30, 542.17 and 299.88

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Solution

The fourth proportional to 393.30, 542.17 and 299.88 is: 413.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.30 : 542.17 = 299.88 : x
  2. Step 2: Convert to fraction form
    393.30/542.17 = 299.88/x
  3. Step 3: Cross multiply
    393.30x = 542.17 × 299.88
  4. Step 4: Simplify right side
    393.30x = 162,585.94
  5. Step 5: Solve for x
    x = 162,585.94/393.30
  6. Step 6: Final answer
    x = 413.39

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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.