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Finding the Fourth Proportional to 393.06, 542.16 and 379.70

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Solution

The fourth proportional to 393.06, 542.16 and 379.70 is: 523.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.06 : 542.16 = 379.70 : x
  2. Step 2: Convert to fraction form
    393.06/542.16 = 379.70/x
  3. Step 3: Cross multiply
    393.06x = 542.16 × 379.70
  4. Step 4: Simplify right side
    393.06x = 205,858.15
  5. Step 5: Solve for x
    x = 205,858.15/393.06
  6. Step 6: Final answer
    x = 523.73

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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.