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Finding the Fourth Proportional to 302.03, 417.01 and 231.97

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Solution

The fourth proportional to 302.03, 417.01 and 231.97 is: 320.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.03 : 417.01 = 231.97 : x
  2. Step 2: Convert to fraction form
    302.03/417.01 = 231.97/x
  3. Step 3: Cross multiply
    302.03x = 417.01 × 231.97
  4. Step 4: Simplify right side
    302.03x = 96,732.16
  5. Step 5: Solve for x
    x = 96,732.16/302.03
  6. Step 6: Final answer
    x = 320.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.