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Finding the Fourth Proportional to 393.39, 542.24 and 314.57

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Solution

The fourth proportional to 393.39, 542.24 and 314.57 is: 433.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.39 : 542.24 = 314.57 : x
  2. Step 2: Convert to fraction form
    393.39/542.24 = 314.57/x
  3. Step 3: Cross multiply
    393.39x = 542.24 × 314.57
  4. Step 4: Simplify right side
    393.39x = 170,570.86
  5. Step 5: Solve for x
    x = 170,570.86/393.39
  6. Step 6: Final answer
    x = 433.59

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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.