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Finding the Fourth Proportional to 524.56, 786.39 and 199.70

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Solution

The fourth proportional to 524.56, 786.39 and 199.70 is: 299.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.56 : 786.39 = 199.70 : x
  2. Step 2: Convert to fraction form
    524.56/786.39 = 199.70/x
  3. Step 3: Cross multiply
    524.56x = 786.39 × 199.70
  4. Step 4: Simplify right side
    524.56x = 157,042.08
  5. Step 5: Solve for x
    x = 157,042.08/524.56
  6. Step 6: Final answer
    x = 299.38

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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.