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Finding the Fourth Proportional to 494.54, 742.08 and 351.44

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Solution

The fourth proportional to 494.54, 742.08 and 351.44 is: 527.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.54 : 742.08 = 351.44 : x
  2. Step 2: Convert to fraction form
    494.54/742.08 = 351.44/x
  3. Step 3: Cross multiply
    494.54x = 742.08 × 351.44
  4. Step 4: Simplify right side
    494.54x = 260,796.60
  5. Step 5: Solve for x
    x = 260,796.60/494.54
  6. Step 6: Final answer
    x = 527.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.