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Finding the Fourth Proportional to 578.94, 868.40 and 194.20

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Solution

The fourth proportional to 578.94, 868.40 and 194.20 is: 291.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.94 : 868.40 = 194.20 : x
  2. Step 2: Convert to fraction form
    578.94/868.40 = 194.20/x
  3. Step 3: Cross multiply
    578.94x = 868.40 × 194.20
  4. Step 4: Simplify right side
    578.94x = 168,643.28
  5. Step 5: Solve for x
    x = 168,643.28/578.94
  6. Step 6: Final answer
    x = 291.30

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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.