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Finding the Fourth Proportional to 918.54, 1,377.78 and 269.28

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Solution

The fourth proportional to 918.54, 1,377.78 and 269.28 is: 403.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.54 : 1,377.78 = 269.28 : x
  2. Step 2: Convert to fraction form
    918.54/1,377.78 = 269.28/x
  3. Step 3: Cross multiply
    918.54x = 1,377.78 × 269.28
  4. Step 4: Simplify right side
    918.54x = 371,008.60
  5. Step 5: Solve for x
    x = 371,008.60/918.54
  6. Step 6: Final answer
    x = 403.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.