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Finding the Fourth Proportional to 439.97, 607.10 and 262.85

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Solution

The fourth proportional to 439.97, 607.10 and 262.85 is: 362.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.97 : 607.10 = 262.85 : x
  2. Step 2: Convert to fraction form
    439.97/607.10 = 262.85/x
  3. Step 3: Cross multiply
    439.97x = 607.10 × 262.85
  4. Step 4: Simplify right side
    439.97x = 159,571.89
  5. Step 5: Solve for x
    x = 159,571.89/439.97
  6. Step 6: Final answer
    x = 362.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.