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Finding the Fourth Proportional to 573.82, 860.32 and 183.70

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Solution

The fourth proportional to 573.82, 860.32 and 183.70 is: 275.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.82 : 860.32 = 183.70 : x
  2. Step 2: Convert to fraction form
    573.82/860.32 = 183.70/x
  3. Step 3: Cross multiply
    573.82x = 860.32 × 183.70
  4. Step 4: Simplify right side
    573.82x = 158,040.78
  5. Step 5: Solve for x
    x = 158,040.78/573.82
  6. Step 6: Final answer
    x = 275.42

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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.