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Finding the Fourth Proportional to 573.98, 860.98 and 189.23

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Solution

The fourth proportional to 573.98, 860.98 and 189.23 is: 283.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.98 : 860.98 = 189.23 : x
  2. Step 2: Convert to fraction form
    573.98/860.98 = 189.23/x
  3. Step 3: Cross multiply
    573.98x = 860.98 × 189.23
  4. Step 4: Simplify right side
    573.98x = 162,924.92
  5. Step 5: Solve for x
    x = 162,924.92/573.98
  6. Step 6: Final answer
    x = 283.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.