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Finding the Fourth Proportional to 498, 686.83 and 301.17

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Solution

The fourth proportional to 498, 686.83 and 301.17 is: 415.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    498 : 686.83 = 301.17 : x
  2. Step 2: Convert to fraction form
    498/686.83 = 301.17/x
  3. Step 3: Cross multiply
    498x = 686.83 × 301.17
  4. Step 4: Simplify right side
    498x = 206,852.59
  5. Step 5: Solve for x
    x = 206,852.59/498
  6. Step 6: Final answer
    x = 415.37

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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.