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Finding the Fourth Proportional to 442.59, 663.47 and 225.51

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Solution

The fourth proportional to 442.59, 663.47 and 225.51 is: 338.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.59 : 663.47 = 225.51 : x
  2. Step 2: Convert to fraction form
    442.59/663.47 = 225.51/x
  3. Step 3: Cross multiply
    442.59x = 663.47 × 225.51
  4. Step 4: Simplify right side
    442.59x = 149,619.12
  5. Step 5: Solve for x
    x = 149,619.12/442.59
  6. Step 6: Final answer
    x = 338.05

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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.