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Finding the Fourth Proportional to 400.76, 552.99 and 234.91

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Solution

The fourth proportional to 400.76, 552.99 and 234.91 is: 324.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.76 : 552.99 = 234.91 : x
  2. Step 2: Convert to fraction form
    400.76/552.99 = 234.91/x
  3. Step 3: Cross multiply
    400.76x = 552.99 × 234.91
  4. Step 4: Simplify right side
    400.76x = 129,902.88
  5. Step 5: Solve for x
    x = 129,902.88/400.76
  6. Step 6: Final answer
    x = 324.14

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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.