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Finding the Fourth Proportional to 524.22, 786.42 and 199.60

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Solution

The fourth proportional to 524.22, 786.42 and 199.60 is: 299.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.22 : 786.42 = 199.60 : x
  2. Step 2: Convert to fraction form
    524.22/786.42 = 199.60/x
  3. Step 3: Cross multiply
    524.22x = 786.42 × 199.60
  4. Step 4: Simplify right side
    524.22x = 156,969.43
  5. Step 5: Solve for x
    x = 156,969.43/524.22
  6. Step 6: Final answer
    x = 299.43

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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.