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Finding the Fourth Proportional to 654.31, 981.16 and 380.48

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Solution

The fourth proportional to 654.31, 981.16 and 380.48 is: 570.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.31 : 981.16 = 380.48 : x
  2. Step 2: Convert to fraction form
    654.31/981.16 = 380.48/x
  3. Step 3: Cross multiply
    654.31x = 981.16 × 380.48
  4. Step 4: Simplify right side
    654.31x = 373,313.56
  5. Step 5: Solve for x
    x = 373,313.56/654.31
  6. Step 6: Final answer
    x = 570.54

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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.