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Finding the Fourth Proportional to 497.80, 686.50 and 311.23

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Solution

The fourth proportional to 497.80, 686.50 and 311.23 is: 429.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.80 : 686.50 = 311.23 : x
  2. Step 2: Convert to fraction form
    497.80/686.50 = 311.23/x
  3. Step 3: Cross multiply
    497.80x = 686.50 × 311.23
  4. Step 4: Simplify right side
    497.80x = 213,659.40
  5. Step 5: Solve for x
    x = 213,659.40/497.80
  6. Step 6: Final answer
    x = 429.21

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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.