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Finding the Fourth Proportional to 400.35, 600.57 and 194.88

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Solution

The fourth proportional to 400.35, 600.57 and 194.88 is: 292.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.35 : 600.57 = 194.88 : x
  2. Step 2: Convert to fraction form
    400.35/600.57 = 194.88/x
  3. Step 3: Cross multiply
    400.35x = 600.57 × 194.88
  4. Step 4: Simplify right side
    400.35x = 117,039.08
  5. Step 5: Solve for x
    x = 117,039.08/400.35
  6. Step 6: Final answer
    x = 292.34

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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.