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Finding the Fourth Proportional to 918.77, 1,378.46 and 269.60

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Solution

The fourth proportional to 918.77, 1,378.46 and 269.60 is: 404.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.77 : 1,378.46 = 269.60 : x
  2. Step 2: Convert to fraction form
    918.77/1,378.46 = 269.60/x
  3. Step 3: Cross multiply
    918.77x = 1,378.46 × 269.60
  4. Step 4: Simplify right side
    918.77x = 371,624.58
  5. Step 5: Solve for x
    x = 371,624.58/918.77
  6. Step 6: Final answer
    x = 404.48

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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.