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Finding the Fourth Proportional to 398.30, 596.78 and 192.82

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Solution

The fourth proportional to 398.30, 596.78 and 192.82 is: 288.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.30 : 596.78 = 192.82 : x
  2. Step 2: Convert to fraction form
    398.30/596.78 = 192.82/x
  3. Step 3: Cross multiply
    398.30x = 596.78 × 192.82
  4. Step 4: Simplify right side
    398.30x = 115,071.12
  5. Step 5: Solve for x
    x = 115,071.12/398.30
  6. Step 6: Final answer
    x = 288.91

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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.