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Finding the Fourth Proportional to 400.64, 552.76 and 234.85

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Solution

The fourth proportional to 400.64, 552.76 and 234.85 is: 324.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.64 : 552.76 = 234.85 : x
  2. Step 2: Convert to fraction form
    400.64/552.76 = 234.85/x
  3. Step 3: Cross multiply
    400.64x = 552.76 × 234.85
  4. Step 4: Simplify right side
    400.64x = 129,814.51
  5. Step 5: Solve for x
    x = 129,814.51/400.64
  6. Step 6: Final answer
    x = 324.02

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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.