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Finding the Fourth Proportional to 573.82, 860.59 and 162.84

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Solution

The fourth proportional to 573.82, 860.59 and 162.84 is: 244.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.82 : 860.59 = 162.84 : x
  2. Step 2: Convert to fraction form
    573.82/860.59 = 162.84/x
  3. Step 3: Cross multiply
    573.82x = 860.59 × 162.84
  4. Step 4: Simplify right side
    573.82x = 140,141.91
  5. Step 5: Solve for x
    x = 140,141.91/573.82
  6. Step 6: Final answer
    x = 244.23

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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.