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Finding the Fourth Proportional to 393.28, 542.19 and 314.86

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Solution

The fourth proportional to 393.28, 542.19 and 314.86 is: 434.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.28 : 542.19 = 314.86 : x
  2. Step 2: Convert to fraction form
    393.28/542.19 = 314.86/x
  3. Step 3: Cross multiply
    393.28x = 542.19 × 314.86
  4. Step 4: Simplify right side
    393.28x = 170,713.94
  5. Step 5: Solve for x
    x = 170,713.94/393.28
  6. Step 6: Final answer
    x = 434.08

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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.