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Finding the Fourth Proportional to 283.26, 390.33 and 269.82

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Solution

The fourth proportional to 283.26, 390.33 and 269.82 is: 371.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.26 : 390.33 = 269.82 : x
  2. Step 2: Convert to fraction form
    283.26/390.33 = 269.82/x
  3. Step 3: Cross multiply
    283.26x = 390.33 × 269.82
  4. Step 4: Simplify right side
    283.26x = 105,318.84
  5. Step 5: Solve for x
    x = 105,318.84/283.26
  6. Step 6: Final answer
    x = 371.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.