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Finding the Fourth Proportional to 400.67, 552.93 and 234.82

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Solution

The fourth proportional to 400.67, 552.93 and 234.82 is: 324.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.67 : 552.93 = 234.82 : x
  2. Step 2: Convert to fraction form
    400.67/552.93 = 234.82/x
  3. Step 3: Cross multiply
    400.67x = 552.93 × 234.82
  4. Step 4: Simplify right side
    400.67x = 129,839.02
  5. Step 5: Solve for x
    x = 129,839.02/400.67
  6. Step 6: Final answer
    x = 324.05

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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.