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Finding the Fourth Proportional to 498, 687.42 and 291

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Solution

The fourth proportional to 498, 687.42 and 291 is: 401.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    498 : 687.42 = 291 : x
  2. Step 2: Convert to fraction form
    498/687.42 = 291/x
  3. Step 3: Cross multiply
    498x = 687.42 × 291
  4. Step 4: Simplify right side
    498x = 200,039.22
  5. Step 5: Solve for x
    x = 200,039.22/498
  6. Step 6: Final answer
    x = 401.69

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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.