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Finding the Fourth Proportional to 400.12, 552.35 and 234.31

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Solution

The fourth proportional to 400.12, 552.35 and 234.31 is: 323.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.12 : 552.35 = 234.31 : x
  2. Step 2: Convert to fraction form
    400.12/552.35 = 234.31/x
  3. Step 3: Cross multiply
    400.12x = 552.35 × 234.31
  4. Step 4: Simplify right side
    400.12x = 129,421.13
  5. Step 5: Solve for x
    x = 129,421.13/400.12
  6. Step 6: Final answer
    x = 323.46

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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.