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Finding the Fourth Proportional to 400.67, 552.85 and 225.98

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Solution

The fourth proportional to 400.67, 552.85 and 225.98 is: 311.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.67 : 552.85 = 225.98 : x
  2. Step 2: Convert to fraction form
    400.67/552.85 = 225.98/x
  3. Step 3: Cross multiply
    400.67x = 552.85 × 225.98
  4. Step 4: Simplify right side
    400.67x = 124,929.71
  5. Step 5: Solve for x
    x = 124,929.71/400.67
  6. Step 6: Final answer
    x = 311.81

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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.