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Finding the Fourth Proportional to 283.01, 422.33 and 252.33

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Solution

The fourth proportional to 283.01, 422.33 and 252.33 is: 376.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.01 : 422.33 = 252.33 : x
  2. Step 2: Convert to fraction form
    283.01/422.33 = 252.33/x
  3. Step 3: Cross multiply
    283.01x = 422.33 × 252.33
  4. Step 4: Simplify right side
    283.01x = 106,566.53
  5. Step 5: Solve for x
    x = 106,566.53/283.01
  6. Step 6: Final answer
    x = 376.55

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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.