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Finding the Fourth Proportional to 382.77, 574.16 and 253.60

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Solution

The fourth proportional to 382.77, 574.16 and 253.60 is: 380.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.77 : 574.16 = 253.60 : x
  2. Step 2: Convert to fraction form
    382.77/574.16 = 253.60/x
  3. Step 3: Cross multiply
    382.77x = 574.16 × 253.60
  4. Step 4: Simplify right side
    382.77x = 145,604.27
  5. Step 5: Solve for x
    x = 145,604.27/382.77
  6. Step 6: Final answer
    x = 380.40

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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.