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Finding the Fourth Proportional to 465.81, 642.78 and 269.25

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Solution

The fourth proportional to 465.81, 642.78 and 269.25 is: 371.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.81 : 642.78 = 269.25 : x
  2. Step 2: Convert to fraction form
    465.81/642.78 = 269.25/x
  3. Step 3: Cross multiply
    465.81x = 642.78 × 269.25
  4. Step 4: Simplify right side
    465.81x = 173,068.52
  5. Step 5: Solve for x
    x = 173,068.52/465.81
  6. Step 6: Final answer
    x = 371.54

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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.