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Finding the Fourth Proportional to 393.56, 542.94 and 294.20

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Solution

The fourth proportional to 393.56, 542.94 and 294.20 is: 405.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.56 : 542.94 = 294.20 : x
  2. Step 2: Convert to fraction form
    393.56/542.94 = 294.20/x
  3. Step 3: Cross multiply
    393.56x = 542.94 × 294.20
  4. Step 4: Simplify right side
    393.56x = 159,732.95
  5. Step 5: Solve for x
    x = 159,732.95/393.56
  6. Step 6: Final answer
    x = 405.87

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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.