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Finding the Fourth Proportional to 397.81, 597.07 and 192.68

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Solution

The fourth proportional to 397.81, 597.07 and 192.68 is: 289.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.81 : 597.07 = 192.68 : x
  2. Step 2: Convert to fraction form
    397.81/597.07 = 192.68/x
  3. Step 3: Cross multiply
    397.81x = 597.07 × 192.68
  4. Step 4: Simplify right side
    397.81x = 115,042.94
  5. Step 5: Solve for x
    x = 115,042.94/397.81
  6. Step 6: Final answer
    x = 289.19

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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.