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Finding the Fourth Proportional to 497.75, 686.76 and 311.43

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Solution

The fourth proportional to 497.75, 686.76 and 311.43 is: 429.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.75 : 686.76 = 311.43 : x
  2. Step 2: Convert to fraction form
    497.75/686.76 = 311.43/x
  3. Step 3: Cross multiply
    497.75x = 686.76 × 311.43
  4. Step 4: Simplify right side
    497.75x = 213,877.67
  5. Step 5: Solve for x
    x = 213,877.67/497.75
  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.