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Finding the Fourth Proportional to 393.38, 542.91 and 294.96

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Solution

The fourth proportional to 393.38, 542.91 and 294.96 is: 407.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.38 : 542.91 = 294.96 : x
  2. Step 2: Convert to fraction form
    393.38/542.91 = 294.96/x
  3. Step 3: Cross multiply
    393.38x = 542.91 × 294.96
  4. Step 4: Simplify right side
    393.38x = 160,139.88
  5. Step 5: Solve for x
    x = 160,139.88/393.38
  6. Step 6: Final answer
    x = 407.09

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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.