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Finding the Fourth Proportional to 859, 1,288.64 and 281.76

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Solution

The fourth proportional to 859, 1,288.64 and 281.76 is: 422.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    859 : 1,288.64 = 281.76 : x
  2. Step 2: Convert to fraction form
    859/1,288.64 = 281.76/x
  3. Step 3: Cross multiply
    859x = 1,288.64 × 281.76
  4. Step 4: Simplify right side
    859x = 363,087.21
  5. Step 5: Solve for x
    x = 363,087.21/859
  6. Step 6: Final answer
    x = 422.69

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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.