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Finding the Fourth Proportional to 524.57, 786.77 and 199.92

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Solution

The fourth proportional to 524.57, 786.77 and 199.92 is: 299.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.57 : 786.77 = 199.92 : x
  2. Step 2: Convert to fraction form
    524.57/786.77 = 199.92/x
  3. Step 3: Cross multiply
    524.57x = 786.77 × 199.92
  4. Step 4: Simplify right side
    524.57x = 157,290.06
  5. Step 5: Solve for x
    x = 157,290.06/524.57
  6. Step 6: Final answer
    x = 299.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.