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Finding the Fourth Proportional to 439.75, 606.86 and 284.50

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Solution

The fourth proportional to 439.75, 606.86 and 284.50 is: 392.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.75 : 606.86 = 284.50 : x
  2. Step 2: Convert to fraction form
    439.75/606.86 = 284.50/x
  3. Step 3: Cross multiply
    439.75x = 606.86 × 284.50
  4. Step 4: Simplify right side
    439.75x = 172,650.25
  5. Step 5: Solve for x
    x = 172,650.25/439.75
  6. Step 6: Final answer
    x = 392.61

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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.