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Finding the Fourth Proportional to 524.53, 786.84 and 199.90

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Solution

The fourth proportional to 524.53, 786.84 and 199.90 is: 299.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.53 : 786.84 = 199.90 : x
  2. Step 2: Convert to fraction form
    524.53/786.84 = 199.90/x
  3. Step 3: Cross multiply
    524.53x = 786.84 × 199.90
  4. Step 4: Simplify right side
    524.53x = 157,289.32
  5. Step 5: Solve for x
    x = 157,289.32/524.53
  6. Step 6: Final answer
    x = 299.87

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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.