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Finding the Fourth Proportional to 524.37, 786.57 and 199.69

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Solution

The fourth proportional to 524.37, 786.57 and 199.69 is: 299.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.37 : 786.57 = 199.69 : x
  2. Step 2: Convert to fraction form
    524.37/786.57 = 199.69/x
  3. Step 3: Cross multiply
    524.37x = 786.57 × 199.69
  4. Step 4: Simplify right side
    524.37x = 157,070.16
  5. Step 5: Solve for x
    x = 157,070.16/524.37
  6. Step 6: Final answer
    x = 299.54

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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.