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Finding the Fourth Proportional to 497.94, 687.11 and 311.37

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Solution

The fourth proportional to 497.94, 687.11 and 311.37 is: 429.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.94 : 687.11 = 311.37 : x
  2. Step 2: Convert to fraction form
    497.94/687.11 = 311.37/x
  3. Step 3: Cross multiply
    497.94x = 687.11 × 311.37
  4. Step 4: Simplify right side
    497.94x = 213,945.44
  5. Step 5: Solve for x
    x = 213,945.44/497.94
  6. Step 6: Final answer
    x = 429.66

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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.