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Finding the Fourth Proportional to 431.03, 646.22 and 268.22

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Solution

The fourth proportional to 431.03, 646.22 and 268.22 is: 402.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.03 : 646.22 = 268.22 : x
  2. Step 2: Convert to fraction form
    431.03/646.22 = 268.22/x
  3. Step 3: Cross multiply
    431.03x = 646.22 × 268.22
  4. Step 4: Simplify right side
    431.03x = 173,324.56
  5. Step 5: Solve for x
    x = 173,324.56/431.03
  6. Step 6: Final answer
    x = 402.12

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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.