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Finding the Fourth Proportional to 479.57, 664.38 and 468.23

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Solution

The fourth proportional to 479.57, 664.38 and 468.23 is: 648.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.57 : 664.38 = 468.23 : x
  2. Step 2: Convert to fraction form
    479.57/664.38 = 468.23/x
  3. Step 3: Cross multiply
    479.57x = 664.38 × 468.23
  4. Step 4: Simplify right side
    479.57x = 311,079.33
  5. Step 5: Solve for x
    x = 311,079.33/479.57
  6. Step 6: Final answer
    x = 648.67

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.