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Finding the Fourth Proportional to 285.11, 426.85 and 262.43

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Solution

The fourth proportional to 285.11, 426.85 and 262.43 is: 392.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.11 : 426.85 = 262.43 : x
  2. Step 2: Convert to fraction form
    285.11/426.85 = 262.43/x
  3. Step 3: Cross multiply
    285.11x = 426.85 × 262.43
  4. Step 4: Simplify right side
    285.11x = 112,018.25
  5. Step 5: Solve for x
    x = 112,018.25/285.11
  6. Step 6: Final answer
    x = 392.89

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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.