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Finding the Fourth Proportional to 479.25, 717.39 and 463.23

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Solution

The fourth proportional to 479.25, 717.39 and 463.23 is: 693.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.25 : 717.39 = 463.23 : x
  2. Step 2: Convert to fraction form
    479.25/717.39 = 463.23/x
  3. Step 3: Cross multiply
    479.25x = 717.39 × 463.23
  4. Step 4: Simplify right side
    479.25x = 332,316.57
  5. Step 5: Solve for x
    x = 332,316.57/479.25
  6. Step 6: Final answer
    x = 693.41

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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.