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Finding the Fourth Proportional to 397.82, 596.32 and 192.32

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Solution

The fourth proportional to 397.82, 596.32 and 192.32 is: 288.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.82 : 596.32 = 192.32 : x
  2. Step 2: Convert to fraction form
    397.82/596.32 = 192.32/x
  3. Step 3: Cross multiply
    397.82x = 596.32 × 192.32
  4. Step 4: Simplify right side
    397.82x = 114,684.26
  5. Step 5: Solve for x
    x = 114,684.26/397.82
  6. Step 6: Final answer
    x = 288.28

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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.