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Finding the Fourth Proportional to 442.56, 663.52 and 223.20

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Solution

The fourth proportional to 442.56, 663.52 and 223.20 is: 334.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.56 : 663.52 = 223.20 : x
  2. Step 2: Convert to fraction form
    442.56/663.52 = 223.20/x
  3. Step 3: Cross multiply
    442.56x = 663.52 × 223.20
  4. Step 4: Simplify right side
    442.56x = 148,097.66
  5. Step 5: Solve for x
    x = 148,097.66/442.56
  6. Step 6: Final answer
    x = 334.64

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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.