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Finding the Fourth Proportional to 497.88, 686.80 and 311.30

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Solution

The fourth proportional to 497.88, 686.80 and 311.30 is: 429.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.88 : 686.80 = 311.30 : x
  2. Step 2: Convert to fraction form
    497.88/686.80 = 311.30/x
  3. Step 3: Cross multiply
    497.88x = 686.80 × 311.30
  4. Step 4: Simplify right side
    497.88x = 213,800.84
  5. Step 5: Solve for x
    x = 213,800.84/497.88
  6. Step 6: Final answer
    x = 429.42

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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.