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Finding the Fourth Proportional to 494.01, 680.98 and 406.53

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Solution

The fourth proportional to 494.01, 680.98 and 406.53 is: 560.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.01 : 680.98 = 406.53 : x
  2. Step 2: Convert to fraction form
    494.01/680.98 = 406.53/x
  3. Step 3: Cross multiply
    494.01x = 680.98 × 406.53
  4. Step 4: Simplify right side
    494.01x = 276,838.80
  5. Step 5: Solve for x
    x = 276,838.80/494.01
  6. Step 6: Final answer
    x = 560.39

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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.