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Finding the Fourth Proportional to 442.32, 663.54 and 225.87

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Solution

The fourth proportional to 442.32, 663.54 and 225.87 is: 338.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.32 : 663.54 = 225.87 : x
  2. Step 2: Convert to fraction form
    442.32/663.54 = 225.87/x
  3. Step 3: Cross multiply
    442.32x = 663.54 × 225.87
  4. Step 4: Simplify right side
    442.32x = 149,873.78
  5. Step 5: Solve for x
    x = 149,873.78/442.32
  6. Step 6: Final answer
    x = 338.84

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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.