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Finding the Fourth Proportional to 918.62, 1,378.18 and 269.34

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Solution

The fourth proportional to 918.62, 1,378.18 and 269.34 is: 404.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.62 : 1,378.18 = 269.34 : x
  2. Step 2: Convert to fraction form
    918.62/1,378.18 = 269.34/x
  3. Step 3: Cross multiply
    918.62x = 1,378.18 × 269.34
  4. Step 4: Simplify right side
    918.62x = 371,199.00
  5. Step 5: Solve for x
    x = 371,199.00/918.62
  6. Step 6: Final answer
    x = 404.08

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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.