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Finding the Fourth Proportional to 397.97, 597.03 and 124.09

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Solution

The fourth proportional to 397.97, 597.03 and 124.09 is: 186.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.97 : 597.03 = 124.09 : x
  2. Step 2: Convert to fraction form
    397.97/597.03 = 124.09/x
  3. Step 3: Cross multiply
    397.97x = 597.03 × 124.09
  4. Step 4: Simplify right side
    397.97x = 74,085.45
  5. Step 5: Solve for x
    x = 74,085.45/397.97
  6. Step 6: Final answer
    x = 186.16

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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.