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Finding the Fourth Proportional to 397.33, 596.08 and 119.66

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Solution

The fourth proportional to 397.33, 596.08 and 119.66 is: 179.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.33 : 596.08 = 119.66 : x
  2. Step 2: Convert to fraction form
    397.33/596.08 = 119.66/x
  3. Step 3: Cross multiply
    397.33x = 596.08 × 119.66
  4. Step 4: Simplify right side
    397.33x = 71,328.14
  5. Step 5: Solve for x
    x = 71,328.14/397.33
  6. Step 6: Final answer
    x = 179.52

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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.