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Finding the Fourth Proportional to 578.76, 867.65 and 213.48

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Solution

The fourth proportional to 578.76, 867.65 and 213.48 is: 320.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.76 : 867.65 = 213.48 : x
  2. Step 2: Convert to fraction form
    578.76/867.65 = 213.48/x
  3. Step 3: Cross multiply
    578.76x = 867.65 × 213.48
  4. Step 4: Simplify right side
    578.76x = 185,224.85
  5. Step 5: Solve for x
    x = 185,224.85/578.76
  6. Step 6: Final answer
    x = 320.04

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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.