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Finding the Fourth Proportional to 289.53, 431.37 and 271.17

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Solution

The fourth proportional to 289.53, 431.37 and 271.17 is: 404.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.53 : 431.37 = 271.17 : x
  2. Step 2: Convert to fraction form
    289.53/431.37 = 271.17/x
  3. Step 3: Cross multiply
    289.53x = 431.37 × 271.17
  4. Step 4: Simplify right side
    289.53x = 116,974.60
  5. Step 5: Solve for x
    x = 116,974.60/289.53
  6. Step 6: Final answer
    x = 404.02

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.