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Finding the Fourth Proportional to 654.15, 981.36 and 284.12

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Solution

The fourth proportional to 654.15, 981.36 and 284.12 is: 426.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.15 : 981.36 = 284.12 : x
  2. Step 2: Convert to fraction form
    654.15/981.36 = 284.12/x
  3. Step 3: Cross multiply
    654.15x = 981.36 × 284.12
  4. Step 4: Simplify right side
    654.15x = 278,819.10
  5. Step 5: Solve for x
    x = 278,819.10/654.15
  6. Step 6: Final answer
    x = 426.23

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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.