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Finding the Fourth Proportional to 578.37, 867.68 and 213.16

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Solution

The fourth proportional to 578.37, 867.68 and 213.16 is: 319.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.37 : 867.68 = 213.16 : x
  2. Step 2: Convert to fraction form
    578.37/867.68 = 213.16/x
  3. Step 3: Cross multiply
    578.37x = 867.68 × 213.16
  4. Step 4: Simplify right side
    578.37x = 184,954.67
  5. Step 5: Solve for x
    x = 184,954.67/578.37
  6. Step 6: Final answer
    x = 319.79

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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.