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Finding the Fourth Proportional to 390.92, 539.54 and 233.68

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Solution

The fourth proportional to 390.92, 539.54 and 233.68 is: 322.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.92 : 539.54 = 233.68 : x
  2. Step 2: Convert to fraction form
    390.92/539.54 = 233.68/x
  3. Step 3: Cross multiply
    390.92x = 539.54 × 233.68
  4. Step 4: Simplify right side
    390.92x = 126,077.66
  5. Step 5: Solve for x
    x = 126,077.66/390.92
  6. Step 6: Final answer
    x = 322.51

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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.