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Finding the Fourth Proportional to 439.36, 606.72 and 284.48

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Solution

The fourth proportional to 439.36, 606.72 and 284.48 is: 392.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.36 : 606.72 = 284.48 : x
  2. Step 2: Convert to fraction form
    439.36/606.72 = 284.48/x
  3. Step 3: Cross multiply
    439.36x = 606.72 × 284.48
  4. Step 4: Simplify right side
    439.36x = 172,599.71
  5. Step 5: Solve for x
    x = 172,599.71/439.36
  6. Step 6: Final answer
    x = 392.84

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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.