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Finding the Fourth Proportional to 397.78, 596.80 and 192.24

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Solution

The fourth proportional to 397.78, 596.80 and 192.24 is: 288.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.78 : 596.80 = 192.24 : x
  2. Step 2: Convert to fraction form
    397.78/596.80 = 192.24/x
  3. Step 3: Cross multiply
    397.78x = 596.80 × 192.24
  4. Step 4: Simplify right side
    397.78x = 114,729.07
  5. Step 5: Solve for x
    x = 114,729.07/397.78
  6. Step 6: Final answer
    x = 288.43

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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.