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Finding the Fourth Proportional to 315.25, 472.31 and 269.13

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Solution

The fourth proportional to 315.25, 472.31 and 269.13 is: 403.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.25 : 472.31 = 269.13 : x
  2. Step 2: Convert to fraction form
    315.25/472.31 = 269.13/x
  3. Step 3: Cross multiply
    315.25x = 472.31 × 269.13
  4. Step 4: Simplify right side
    315.25x = 127,112.28
  5. Step 5: Solve for x
    x = 127,112.28/315.25
  6. Step 6: Final answer
    x = 403.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.