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Finding the Fourth Proportional to 654.45, 981.65 and 284.18

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Solution

The fourth proportional to 654.45, 981.65 and 284.18 is: 426.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.45 : 981.65 = 284.18 : x
  2. Step 2: Convert to fraction form
    654.45/981.65 = 284.18/x
  3. Step 3: Cross multiply
    654.45x = 981.65 × 284.18
  4. Step 4: Simplify right side
    654.45x = 278,961.10
  5. Step 5: Solve for x
    x = 278,961.10/654.45
  6. Step 6: Final answer
    x = 426.26

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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.