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Finding the Fourth Proportional to 573.44, 859.88 and 188.56

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Solution

The fourth proportional to 573.44, 859.88 and 188.56 is: 282.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.44 : 859.88 = 188.56 : x
  2. Step 2: Convert to fraction form
    573.44/859.88 = 188.56/x
  3. Step 3: Cross multiply
    573.44x = 859.88 × 188.56
  4. Step 4: Simplify right side
    573.44x = 162,138.97
  5. Step 5: Solve for x
    x = 162,138.97/573.44
  6. Step 6: Final answer
    x = 282.75

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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.