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Finding the Fourth Proportional to 390.14, 538.17 and 234.80

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Solution

The fourth proportional to 390.14, 538.17 and 234.80 is: 323.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.14 : 538.17 = 234.80 : x
  2. Step 2: Convert to fraction form
    390.14/538.17 = 234.80/x
  3. Step 3: Cross multiply
    390.14x = 538.17 × 234.80
  4. Step 4: Simplify right side
    390.14x = 126,362.32
  5. Step 5: Solve for x
    x = 126,362.32/390.14
  6. Step 6: Final answer
    x = 323.89

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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.