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Finding the Fourth Proportional to 494.06, 680.96 and 346.44

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Solution

The fourth proportional to 494.06, 680.96 and 346.44 is: 477.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.06 : 680.96 = 346.44 : x
  2. Step 2: Convert to fraction form
    494.06/680.96 = 346.44/x
  3. Step 3: Cross multiply
    494.06x = 680.96 × 346.44
  4. Step 4: Simplify right side
    494.06x = 235,911.78
  5. Step 5: Solve for x
    x = 235,911.78/494.06
  6. Step 6: Final answer
    x = 477.50

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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.