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Finding the Fourth Proportional to 390.09, 538.41 and 234.84

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Solution

The fourth proportional to 390.09, 538.41 and 234.84 is: 324.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.09 : 538.41 = 234.84 : x
  2. Step 2: Convert to fraction form
    390.09/538.41 = 234.84/x
  3. Step 3: Cross multiply
    390.09x = 538.41 × 234.84
  4. Step 4: Simplify right side
    390.09x = 126,440.20
  5. Step 5: Solve for x
    x = 126,440.20/390.09
  6. Step 6: Final answer
    x = 324.13

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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.