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Finding the Fourth Proportional to 282.05, 423.01 and 76.59

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Solution

The fourth proportional to 282.05, 423.01 and 76.59 is: 114.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.05 : 423.01 = 76.59 : x
  2. Step 2: Convert to fraction form
    282.05/423.01 = 76.59/x
  3. Step 3: Cross multiply
    282.05x = 423.01 × 76.59
  4. Step 4: Simplify right side
    282.05x = 32,398.14
  5. Step 5: Solve for x
    x = 32,398.14/282.05
  6. Step 6: Final answer
    x = 114.87

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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.