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Finding the Fourth Proportional to 393.48, 542.92 and 238.20

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Solution

The fourth proportional to 393.48, 542.92 and 238.20 is: 328.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.48 : 542.92 = 238.20 : x
  2. Step 2: Convert to fraction form
    393.48/542.92 = 238.20/x
  3. Step 3: Cross multiply
    393.48x = 542.92 × 238.20
  4. Step 4: Simplify right side
    393.48x = 129,323.54
  5. Step 5: Solve for x
    x = 129,323.54/393.48
  6. Step 6: Final answer
    x = 328.67

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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.