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Finding the Fourth Proportional to 400.24, 600.29 and 107.76

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Solution

The fourth proportional to 400.24, 600.29 and 107.76 is: 161.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.24 : 600.29 = 107.76 : x
  2. Step 2: Convert to fraction form
    400.24/600.29 = 107.76/x
  3. Step 3: Cross multiply
    400.24x = 600.29 × 107.76
  4. Step 4: Simplify right side
    400.24x = 64,684.00
  5. Step 5: Solve for x
    x = 64,684.00/400.24
  6. Step 6: Final answer
    x = 161.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.