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Finding the Fourth Proportional to 524.18, 785.82 and 199.78

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Solution

The fourth proportional to 524.18, 785.82 and 199.78 is: 299.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.18 : 785.82 = 199.78 : x
  2. Step 2: Convert to fraction form
    524.18/785.82 = 199.78/x
  3. Step 3: Cross multiply
    524.18x = 785.82 × 199.78
  4. Step 4: Simplify right side
    524.18x = 156,991.12
  5. Step 5: Solve for x
    x = 156,991.12/524.18
  6. Step 6: Final answer
    x = 299.50

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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.