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Finding the Fourth Proportional to 291.71, 437.64 and 86.27

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Solution

The fourth proportional to 291.71, 437.64 and 86.27 is: 129.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.71 : 437.64 = 86.27 : x
  2. Step 2: Convert to fraction form
    291.71/437.64 = 86.27/x
  3. Step 3: Cross multiply
    291.71x = 437.64 × 86.27
  4. Step 4: Simplify right side
    291.71x = 37,756.30
  5. Step 5: Solve for x
    x = 37,756.30/291.71
  6. Step 6: Final answer
    x = 129.43

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Why These Related Problems?

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