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Finding the Fourth Proportional to 494.08, 682.15 and 307.85

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Solution

The fourth proportional to 494.08, 682.15 and 307.85 is: 425.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.08 : 682.15 = 307.85 : x
  2. Step 2: Convert to fraction form
    494.08/682.15 = 307.85/x
  3. Step 3: Cross multiply
    494.08x = 682.15 × 307.85
  4. Step 4: Simplify right side
    494.08x = 209,996.27
  5. Step 5: Solve for x
    x = 209,996.27/494.08
  6. Step 6: Final answer
    x = 425.02

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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.