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Finding the Fourth Proportional to 573.76, 860.52 and 162.80

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Solution

The fourth proportional to 573.76, 860.52 and 162.80 is: 244.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.76 : 860.52 = 162.80 : x
  2. Step 2: Convert to fraction form
    573.76/860.52 = 162.80/x
  3. Step 3: Cross multiply
    573.76x = 860.52 × 162.80
  4. Step 4: Simplify right side
    573.76x = 140,092.66
  5. Step 5: Solve for x
    x = 140,092.66/573.76
  6. Step 6: Final answer
    x = 244.17

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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.