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Finding the Fourth Proportional to 654.13, 981.23 and 264.19

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Solution

The fourth proportional to 654.13, 981.23 and 264.19 is: 396.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.13 : 981.23 = 264.19 : x
  2. Step 2: Convert to fraction form
    654.13/981.23 = 264.19/x
  3. Step 3: Cross multiply
    654.13x = 981.23 × 264.19
  4. Step 4: Simplify right side
    654.13x = 259,231.15
  5. Step 5: Solve for x
    x = 259,231.15/654.13
  6. Step 6: Final answer
    x = 396.30

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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.