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Finding the Fourth Proportional to 390.12, 538.44 and 234.88

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Solution

The fourth proportional to 390.12, 538.44 and 234.88 is: 324.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.12 : 538.44 = 234.88 : x
  2. Step 2: Convert to fraction form
    390.12/538.44 = 234.88/x
  3. Step 3: Cross multiply
    390.12x = 538.44 × 234.88
  4. Step 4: Simplify right side
    390.12x = 126,468.79
  5. Step 5: Solve for x
    x = 126,468.79/390.12
  6. Step 6: Final answer
    x = 324.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.