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Finding the Fourth Proportional to 465.57, 642.38 and 269.07

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Solution

The fourth proportional to 465.57, 642.38 and 269.07 is: 371.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.57 : 642.38 = 269.07 : x
  2. Step 2: Convert to fraction form
    465.57/642.38 = 269.07/x
  3. Step 3: Cross multiply
    465.57x = 642.38 × 269.07
  4. Step 4: Simplify right side
    465.57x = 172,843.84
  5. Step 5: Solve for x
    x = 172,843.84/465.57
  6. Step 6: Final answer
    x = 371.25

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Why These Related Problems?

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