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Finding the Fourth Proportional to 654.41, 981.23 and 264.39

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Solution

The fourth proportional to 654.41, 981.23 and 264.39 is: 396.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.41 : 981.23 = 264.39 : x
  2. Step 2: Convert to fraction form
    654.41/981.23 = 264.39/x
  3. Step 3: Cross multiply
    654.41x = 981.23 × 264.39
  4. Step 4: Simplify right side
    654.41x = 259,426.08
  5. Step 5: Solve for x
    x = 259,426.08/654.41
  6. Step 6: Final answer
    x = 396.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.