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Finding the Fourth Proportional to 382.64, 573.48 and 199.58

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Solution

The fourth proportional to 382.64, 573.48 and 199.58 is: 299.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.64 : 573.48 = 199.58 : x
  2. Step 2: Convert to fraction form
    382.64/573.48 = 199.58/x
  3. Step 3: Cross multiply
    382.64x = 573.48 × 199.58
  4. Step 4: Simplify right side
    382.64x = 114,455.14
  5. Step 5: Solve for x
    x = 114,455.14/382.64
  6. Step 6: Final answer
    x = 299.12

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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.