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Finding the Fourth Proportional to 283.31, 422.81 and 276.02

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Solution

The fourth proportional to 283.31, 422.81 and 276.02 is: 411.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.31 : 422.81 = 276.02 : x
  2. Step 2: Convert to fraction form
    283.31/422.81 = 276.02/x
  3. Step 3: Cross multiply
    283.31x = 422.81 × 276.02
  4. Step 4: Simplify right side
    283.31x = 116,700.52
  5. Step 5: Solve for x
    x = 116,700.52/283.31
  6. Step 6: Final answer
    x = 411.93

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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.