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Finding the Fourth Proportional to 315.92, 436.44 and 269.82

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Solution

The fourth proportional to 315.92, 436.44 and 269.82 is: 372.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.92 : 436.44 = 269.82 : x
  2. Step 2: Convert to fraction form
    315.92/436.44 = 269.82/x
  3. Step 3: Cross multiply
    315.92x = 436.44 × 269.82
  4. Step 4: Simplify right side
    315.92x = 117,760.24
  5. Step 5: Solve for x
    x = 117,760.24/315.92
  6. Step 6: Final answer
    x = 372.76

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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.