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Finding the Fourth Proportional to 918.41, 1,377.61 and 269.33

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Solution

The fourth proportional to 918.41, 1,377.61 and 269.33 is: 403.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.41 : 1,377.61 = 269.33 : x
  2. Step 2: Convert to fraction form
    918.41/1,377.61 = 269.33/x
  3. Step 3: Cross multiply
    918.41x = 1,377.61 × 269.33
  4. Step 4: Simplify right side
    918.41x = 371,024.14
  5. Step 5: Solve for x
    x = 371,024.14/918.41
  6. Step 6: Final answer
    x = 403.99

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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.