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Finding the Fourth Proportional to 524.12, 786.24 and 199.44

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Solution

The fourth proportional to 524.12, 786.24 and 199.44 is: 299.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.12 : 786.24 = 199.44 : x
  2. Step 2: Convert to fraction form
    524.12/786.24 = 199.44/x
  3. Step 3: Cross multiply
    524.12x = 786.24 × 199.44
  4. Step 4: Simplify right side
    524.12x = 156,807.71
  5. Step 5: Solve for x
    x = 156,807.71/524.12
  6. Step 6: Final answer
    x = 299.19

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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.