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Finding the Fourth Proportional to 477.97, 659.31 and 301.03

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Solution

The fourth proportional to 477.97, 659.31 and 301.03 is: 415.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.97 : 659.31 = 301.03 : x
  2. Step 2: Convert to fraction form
    477.97/659.31 = 301.03/x
  3. Step 3: Cross multiply
    477.97x = 659.31 × 301.03
  4. Step 4: Simplify right side
    477.97x = 198,472.09
  5. Step 5: Solve for x
    x = 198,472.09/477.97
  6. Step 6: Final answer
    x = 415.24

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