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Finding the Fourth Proportional to 524.32, 786.15 and 199.61

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Solution

The fourth proportional to 524.32, 786.15 and 199.61 is: 299.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.32 : 786.15 = 199.61 : x
  2. Step 2: Convert to fraction form
    524.32/786.15 = 199.61/x
  3. Step 3: Cross multiply
    524.32x = 786.15 × 199.61
  4. Step 4: Simplify right side
    524.32x = 156,923.40
  5. Step 5: Solve for x
    x = 156,923.40/524.32
  6. Step 6: Final answer
    x = 299.29

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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.