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Finding the Fourth Proportional to 431.36, 646.20 and 225.44

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Solution

The fourth proportional to 431.36, 646.20 and 225.44 is: 337.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.36 : 646.20 = 225.44 : x
  2. Step 2: Convert to fraction form
    431.36/646.20 = 225.44/x
  3. Step 3: Cross multiply
    431.36x = 646.20 × 225.44
  4. Step 4: Simplify right side
    431.36x = 145,679.33
  5. Step 5: Solve for x
    x = 145,679.33/431.36
  6. Step 6: Final answer
    x = 337.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.