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Finding the Fourth Proportional to 578.53, 867.81 and 193.78

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Solution

The fourth proportional to 578.53, 867.81 and 193.78 is: 290.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.53 : 867.81 = 193.78 : x
  2. Step 2: Convert to fraction form
    578.53/867.81 = 193.78/x
  3. Step 3: Cross multiply
    578.53x = 867.81 × 193.78
  4. Step 4: Simplify right side
    578.53x = 168,164.58
  5. Step 5: Solve for x
    x = 168,164.58/578.53
  6. Step 6: Final answer
    x = 290.68

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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.