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Finding the Fourth Proportional to 883.72, 1,325.48 and 225.60

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Solution

The fourth proportional to 883.72, 1,325.48 and 225.60 is: 338.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.72 : 1,325.48 = 225.60 : x
  2. Step 2: Convert to fraction form
    883.72/1,325.48 = 225.60/x
  3. Step 3: Cross multiply
    883.72x = 1,325.48 × 225.60
  4. Step 4: Simplify right side
    883.72x = 299,028.29
  5. Step 5: Solve for x
    x = 299,028.29/883.72
  6. Step 6: Final answer
    x = 338.37

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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.