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Finding the Fourth Proportional to 465.74, 642.68 and 269.32

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Solution

The fourth proportional to 465.74, 642.68 and 269.32 is: 371.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.74 : 642.68 = 269.32 : x
  2. Step 2: Convert to fraction form
    465.74/642.68 = 269.32/x
  3. Step 3: Cross multiply
    465.74x = 642.68 × 269.32
  4. Step 4: Simplify right side
    465.74x = 173,082.02
  5. Step 5: Solve for x
    x = 173,082.02/465.74
  6. Step 6: Final answer
    x = 371.63

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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.