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Finding the Fourth Proportional to 394.20, 590.85 and 177.32

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Solution

The fourth proportional to 394.20, 590.85 and 177.32 is: 265.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.20 : 590.85 = 177.32 : x
  2. Step 2: Convert to fraction form
    394.20/590.85 = 177.32/x
  3. Step 3: Cross multiply
    394.20x = 590.85 × 177.32
  4. Step 4: Simplify right side
    394.20x = 104,771.00
  5. Step 5: Solve for x
    x = 104,771.00/394.20
  6. Step 6: Final answer
    x = 265.78

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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.