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Finding the Fourth Proportional to 431.14, 646.37 and 225.67

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Solution

The fourth proportional to 431.14, 646.37 and 225.67 is: 338.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.14 : 646.37 = 225.67 : x
  2. Step 2: Convert to fraction form
    431.14/646.37 = 225.67/x
  3. Step 3: Cross multiply
    431.14x = 646.37 × 225.67
  4. Step 4: Simplify right side
    431.14x = 145,862.36
  5. Step 5: Solve for x
    x = 145,862.36/431.14
  6. Step 6: Final answer
    x = 338.32

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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.