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Finding the Fourth Proportional to 497.26, 686.30 and 300.80

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Solution

The fourth proportional to 497.26, 686.30 and 300.80 is: 415.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.26 : 686.30 = 300.80 : x
  2. Step 2: Convert to fraction form
    497.26/686.30 = 300.80/x
  3. Step 3: Cross multiply
    497.26x = 686.30 × 300.80
  4. Step 4: Simplify right side
    497.26x = 206,439.04
  5. Step 5: Solve for x
    x = 206,439.04/497.26
  6. Step 6: Final answer
    x = 415.15

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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.