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Finding the Fourth Proportional to 918.62, 1,378.14 and 269.41

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Solution

The fourth proportional to 918.62, 1,378.14 and 269.41 is: 404.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.62 : 1,378.14 = 269.41 : x
  2. Step 2: Convert to fraction form
    918.62/1,378.14 = 269.41/x
  3. Step 3: Cross multiply
    918.62x = 1,378.14 × 269.41
  4. Step 4: Simplify right side
    918.62x = 371,284.70
  5. Step 5: Solve for x
    x = 371,284.70/918.62
  6. Step 6: Final answer
    x = 404.18

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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.