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Finding the Fourth Proportional to 283.30, 422.06 and 269.53

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Solution

The fourth proportional to 283.30, 422.06 and 269.53 is: 401.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.30 : 422.06 = 269.53 : x
  2. Step 2: Convert to fraction form
    283.30/422.06 = 269.53/x
  3. Step 3: Cross multiply
    283.30x = 422.06 × 269.53
  4. Step 4: Simplify right side
    283.30x = 113,754.37
  5. Step 5: Solve for x
    x = 113,754.37/283.30
  6. Step 6: Final answer
    x = 401.54

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.