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Finding the Fourth Proportional to 400.33, 600.26 and 194.64

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Solution

The fourth proportional to 400.33, 600.26 and 194.64 is: 291.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.33 : 600.26 = 194.64 : x
  2. Step 2: Convert to fraction form
    400.33/600.26 = 194.64/x
  3. Step 3: Cross multiply
    400.33x = 600.26 × 194.64
  4. Step 4: Simplify right side
    400.33x = 116,832.48
  5. Step 5: Solve for x
    x = 116,832.48/400.33
  6. Step 6: Final answer
    x = 291.84

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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.