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Finding the Fourth Proportional to 266.87, 398.08 and 262.62

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Solution

The fourth proportional to 266.87, 398.08 and 262.62 is: 391.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.87 : 398.08 = 262.62 : x
  2. Step 2: Convert to fraction form
    266.87/398.08 = 262.62/x
  3. Step 3: Cross multiply
    266.87x = 398.08 × 262.62
  4. Step 4: Simplify right side
    266.87x = 104,541.78
  5. Step 5: Solve for x
    x = 104,541.78/266.87
  6. Step 6: Final answer
    x = 391.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.