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Finding the Fourth Proportional to 397.61, 597.11 and 244.44

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Solution

The fourth proportional to 397.61, 597.11 and 244.44 is: 367.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.61 : 597.11 = 244.44 : x
  2. Step 2: Convert to fraction form
    397.61/597.11 = 244.44/x
  3. Step 3: Cross multiply
    397.61x = 597.11 × 244.44
  4. Step 4: Simplify right side
    397.61x = 145,957.57
  5. Step 5: Solve for x
    x = 145,957.57/397.61
  6. Step 6: Final answer
    x = 367.09

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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.