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Finding the Fourth Proportional to 479.25, 718.97 and 284.15

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Solution

The fourth proportional to 479.25, 718.97 and 284.15 is: 426.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.25 : 718.97 = 284.15 : x
  2. Step 2: Convert to fraction form
    479.25/718.97 = 284.15/x
  3. Step 3: Cross multiply
    479.25x = 718.97 × 284.15
  4. Step 4: Simplify right side
    479.25x = 204,295.70
  5. Step 5: Solve for x
    x = 204,295.70/479.25
  6. Step 6: Final answer
    x = 426.28

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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.