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Finding the Fourth Proportional to 524.45, 786.81 and 199.82

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Solution

The fourth proportional to 524.45, 786.81 and 199.82 is: 299.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.45 : 786.81 = 199.82 : x
  2. Step 2: Convert to fraction form
    524.45/786.81 = 199.82/x
  3. Step 3: Cross multiply
    524.45x = 786.81 × 199.82
  4. Step 4: Simplify right side
    524.45x = 157,220.37
  5. Step 5: Solve for x
    x = 157,220.37/524.45
  6. Step 6: Final answer
    x = 299.78

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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.