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Finding the Fourth Proportional to 390.20, 538.38 and 234.92

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Solution

The fourth proportional to 390.20, 538.38 and 234.92 is: 324.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.20 : 538.38 = 234.92 : x
  2. Step 2: Convert to fraction form
    390.20/538.38 = 234.92/x
  3. Step 3: Cross multiply
    390.20x = 538.38 × 234.92
  4. Step 4: Simplify right side
    390.20x = 126,476.23
  5. Step 5: Solve for x
    x = 126,476.23/390.20
  6. Step 6: Final answer
    x = 324.13

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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.