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Finding the Fourth Proportional to 573.57, 860.19 and 226.84

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Solution

The fourth proportional to 573.57, 860.19 and 226.84 is: 340.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.57 : 860.19 = 226.84 : x
  2. Step 2: Convert to fraction form
    573.57/860.19 = 226.84/x
  3. Step 3: Cross multiply
    573.57x = 860.19 × 226.84
  4. Step 4: Simplify right side
    573.57x = 195,125.50
  5. Step 5: Solve for x
    x = 195,125.50/573.57
  6. Step 6: Final answer
    x = 340.19

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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.