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Finding the Fourth Proportional to 654.24, 981.42 and 243.28

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Solution

The fourth proportional to 654.24, 981.42 and 243.28 is: 364.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.24 : 981.42 = 243.28 : x
  2. Step 2: Convert to fraction form
    654.24/981.42 = 243.28/x
  3. Step 3: Cross multiply
    654.24x = 981.42 × 243.28
  4. Step 4: Simplify right side
    654.24x = 238,759.24
  5. Step 5: Solve for x
    x = 238,759.24/654.24
  6. Step 6: Final answer
    x = 364.94

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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.