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Finding the Fourth Proportional to 573.78, 860.22 and 208.52

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Solution

The fourth proportional to 573.78, 860.22 and 208.52 is: 312.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.78 : 860.22 = 208.52 : x
  2. Step 2: Convert to fraction form
    573.78/860.22 = 208.52/x
  3. Step 3: Cross multiply
    573.78x = 860.22 × 208.52
  4. Step 4: Simplify right side
    573.78x = 179,376.84
  5. Step 5: Solve for x
    x = 179,376.84/573.78
  6. Step 6: Final answer
    x = 312.62

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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.