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Finding the Fourth Proportional to 439.50, 606.53 and 284.52

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Solution

The fourth proportional to 439.50, 606.53 and 284.52 is: 392.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.50 : 606.53 = 284.52 : x
  2. Step 2: Convert to fraction form
    439.50/606.53 = 284.52/x
  3. Step 3: Cross multiply
    439.50x = 606.53 × 284.52
  4. Step 4: Simplify right side
    439.50x = 172,568.49
  5. Step 5: Solve for x
    x = 172,568.49/439.50
  6. Step 6: Final answer
    x = 392.65

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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.