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Finding the Fourth Proportional to 654.59, 981.26 and 243.44

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Solution

The fourth proportional to 654.59, 981.26 and 243.44 is: 364.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.59 : 981.26 = 243.44 : x
  2. Step 2: Convert to fraction form
    654.59/981.26 = 243.44/x
  3. Step 3: Cross multiply
    654.59x = 981.26 × 243.44
  4. Step 4: Simplify right side
    654.59x = 238,876.72
  5. Step 5: Solve for x
    x = 238,876.72/654.59
  6. Step 6: Final answer
    x = 364.93

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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.