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Finding the Fourth Proportional to 393.30, 542.21 and 245.84

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Solution

The fourth proportional to 393.30, 542.21 and 245.84 is: 338.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.30 : 542.21 = 245.84 : x
  2. Step 2: Convert to fraction form
    393.30/542.21 = 245.84/x
  3. Step 3: Cross multiply
    393.30x = 542.21 × 245.84
  4. Step 4: Simplify right side
    393.30x = 133,292.97
  5. Step 5: Solve for x
    x = 133,292.97/393.30
  6. Step 6: Final answer
    x = 338.91

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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.