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Finding the Fourth Proportional to 400.57, 600.13 and 194.85

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Solution

The fourth proportional to 400.57, 600.13 and 194.85 is: 291.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.57 : 600.13 = 194.85 : x
  2. Step 2: Convert to fraction form
    400.57/600.13 = 194.85/x
  3. Step 3: Cross multiply
    400.57x = 600.13 × 194.85
  4. Step 4: Simplify right side
    400.57x = 116,935.33
  5. Step 5: Solve for x
    x = 116,935.33/400.57
  6. Step 6: Final answer
    x = 291.92

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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.