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Finding the Fourth Proportional to 918.41, 1,377.75 and 269.06

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Solution

The fourth proportional to 918.41, 1,377.75 and 269.06 is: 403.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.41 : 1,377.75 = 269.06 : x
  2. Step 2: Convert to fraction form
    918.41/1,377.75 = 269.06/x
  3. Step 3: Cross multiply
    918.41x = 1,377.75 × 269.06
  4. Step 4: Simplify right side
    918.41x = 370,697.42
  5. Step 5: Solve for x
    x = 370,697.42/918.41
  6. Step 6: Final answer
    x = 403.63

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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.