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Finding the Fourth Proportional to 918.44, 1,377.64 and 269.16

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Solution

The fourth proportional to 918.44, 1,377.64 and 269.16 is: 403.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.44 : 1,377.64 = 269.16 : x
  2. Step 2: Convert to fraction form
    918.44/1,377.64 = 269.16/x
  3. Step 3: Cross multiply
    918.44x = 1,377.64 × 269.16
  4. Step 4: Simplify right side
    918.44x = 370,800.75
  5. Step 5: Solve for x
    x = 370,800.75/918.44
  6. Step 6: Final answer
    x = 403.73

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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.