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Finding the Fourth Proportional to 573.85, 860.24 and 208.37

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Solution

The fourth proportional to 573.85, 860.24 and 208.37 is: 312.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.85 : 860.24 = 208.37 : x
  2. Step 2: Convert to fraction form
    573.85/860.24 = 208.37/x
  3. Step 3: Cross multiply
    573.85x = 860.24 × 208.37
  4. Step 4: Simplify right side
    573.85x = 179,247.17
  5. Step 5: Solve for x
    x = 179,247.17/573.85
  6. Step 6: Final answer
    x = 312.36

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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.