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Finding the Fourth Proportional to 578.80, 867.64 and 213.32

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Solution

The fourth proportional to 578.80, 867.64 and 213.32 is: 319.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.80 : 867.64 = 213.32 : x
  2. Step 2: Convert to fraction form
    578.80/867.64 = 213.32/x
  3. Step 3: Cross multiply
    578.80x = 867.64 × 213.32
  4. Step 4: Simplify right side
    578.80x = 185,084.96
  5. Step 5: Solve for x
    x = 185,084.96/578.80
  6. Step 6: Final answer
    x = 319.77

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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.