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Finding the Fourth Proportional to 289.21, 431.73 and 268.71

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Solution

The fourth proportional to 289.21, 431.73 and 268.71 is: 401.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.21 : 431.73 = 268.71 : x
  2. Step 2: Convert to fraction form
    289.21/431.73 = 268.71/x
  3. Step 3: Cross multiply
    289.21x = 431.73 × 268.71
  4. Step 4: Simplify right side
    289.21x = 116,010.17
  5. Step 5: Solve for x
    x = 116,010.17/289.21
  6. Step 6: Final answer
    x = 401.13

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Why These Related Problems?

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