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Finding the Fourth Proportional to 393.16, 542.41 and 275.32

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Solution

The fourth proportional to 393.16, 542.41 and 275.32 is: 379.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.16 : 542.41 = 275.32 : x
  2. Step 2: Convert to fraction form
    393.16/542.41 = 275.32/x
  3. Step 3: Cross multiply
    393.16x = 542.41 × 275.32
  4. Step 4: Simplify right side
    393.16x = 149,333.61
  5. Step 5: Solve for x
    x = 149,333.61/393.16
  6. Step 6: Final answer
    x = 379.83

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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.