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Finding the Fourth Proportional to 400.50, 552.66 and 234.74

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Solution

The fourth proportional to 400.50, 552.66 and 234.74 is: 323.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.50 : 552.66 = 234.74 : x
  2. Step 2: Convert to fraction form
    400.50/552.66 = 234.74/x
  3. Step 3: Cross multiply
    400.50x = 552.66 × 234.74
  4. Step 4: Simplify right side
    400.50x = 129,732.79
  5. Step 5: Solve for x
    x = 129,732.79/400.50
  6. Step 6: Final answer
    x = 323.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.