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Finding the Fourth Proportional to 315.13, 472.34 and 269.34

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Solution

The fourth proportional to 315.13, 472.34 and 269.34 is: 403.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.13 : 472.34 = 269.34 : x
  2. Step 2: Convert to fraction form
    315.13/472.34 = 269.34/x
  3. Step 3: Cross multiply
    315.13x = 472.34 × 269.34
  4. Step 4: Simplify right side
    315.13x = 127,218.37
  5. Step 5: Solve for x
    x = 127,218.37/315.13
  6. Step 6: Final answer
    x = 403.71

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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.