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Finding the Fourth Proportional to 918.91, 1,378.50 and 269.56

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Solution

The fourth proportional to 918.91, 1,378.50 and 269.56 is: 404.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.91 : 1,378.50 = 269.56 : x
  2. Step 2: Convert to fraction form
    918.91/1,378.50 = 269.56/x
  3. Step 3: Cross multiply
    918.91x = 1,378.50 × 269.56
  4. Step 4: Simplify right side
    918.91x = 371,588.46
  5. Step 5: Solve for x
    x = 371,588.46/918.91
  6. Step 6: Final answer
    x = 404.38

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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.