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Finding the Fourth Proportional to 400.10, 552.21 and 234.32

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Solution

The fourth proportional to 400.10, 552.21 and 234.32 is: 323.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.10 : 552.21 = 234.32 : x
  2. Step 2: Convert to fraction form
    400.10/552.21 = 234.32/x
  3. Step 3: Cross multiply
    400.10x = 552.21 × 234.32
  4. Step 4: Simplify right side
    400.10x = 129,393.85
  5. Step 5: Solve for x
    x = 129,393.85/400.10
  6. Step 6: Final answer
    x = 323.40

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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.