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Finding the Fourth Proportional to 497.36, 686.79 and 311.17

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Solution

The fourth proportional to 497.36, 686.79 and 311.17 is: 429.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.36 : 686.79 = 311.17 : x
  2. Step 2: Convert to fraction form
    497.36/686.79 = 311.17/x
  3. Step 3: Cross multiply
    497.36x = 686.79 × 311.17
  4. Step 4: Simplify right side
    497.36x = 213,708.44
  5. Step 5: Solve for x
    x = 213,708.44/497.36
  6. Step 6: Final answer
    x = 429.69

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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.