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Finding the Fourth Proportional to 381.21, 574.66 and 356.15

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Solution

The fourth proportional to 381.21, 574.66 and 356.15 is: 536.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.21 : 574.66 = 356.15 : x
  2. Step 2: Convert to fraction form
    381.21/574.66 = 356.15/x
  3. Step 3: Cross multiply
    381.21x = 574.66 × 356.15
  4. Step 4: Simplify right side
    381.21x = 204,663.81
  5. Step 5: Solve for x
    x = 204,663.81/381.21
  6. Step 6: Final answer
    x = 536.88

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.