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Finding the Fourth Proportional to 424.56, 585.84 and 269.40

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Solution

The fourth proportional to 424.56, 585.84 and 269.40 is: 371.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.56 : 585.84 = 269.40 : x
  2. Step 2: Convert to fraction form
    424.56/585.84 = 269.40/x
  3. Step 3: Cross multiply
    424.56x = 585.84 × 269.40
  4. Step 4: Simplify right side
    424.56x = 157,825.30
  5. Step 5: Solve for x
    x = 157,825.30/424.56
  6. Step 6: Final answer
    x = 371.74

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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.