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Finding the Fourth Proportional to 578.36, 867.86 and 213.10

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Solution

The fourth proportional to 578.36, 867.86 and 213.10 is: 319.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.36 : 867.86 = 213.10 : x
  2. Step 2: Convert to fraction form
    578.36/867.86 = 213.10/x
  3. Step 3: Cross multiply
    578.36x = 867.86 × 213.10
  4. Step 4: Simplify right side
    578.36x = 184,938.53
  5. Step 5: Solve for x
    x = 184,938.53/578.36
  6. Step 6: Final answer
    x = 319.76

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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.