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Finding the Fourth Proportional to 398.38, 597.03 and 181.45

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Solution

The fourth proportional to 398.38, 597.03 and 181.45 is: 271.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.38 : 597.03 = 181.45 : x
  2. Step 2: Convert to fraction form
    398.38/597.03 = 181.45/x
  3. Step 3: Cross multiply
    398.38x = 597.03 × 181.45
  4. Step 4: Simplify right side
    398.38x = 108,331.09
  5. Step 5: Solve for x
    x = 108,331.09/398.38
  6. Step 6: Final answer
    x = 271.93

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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.