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Finding the Fourth Proportional to 494.88, 742.24 and 206.24

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Solution

The fourth proportional to 494.88, 742.24 and 206.24 is: 309.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.88 : 742.24 = 206.24 : x
  2. Step 2: Convert to fraction form
    494.88/742.24 = 206.24/x
  3. Step 3: Cross multiply
    494.88x = 742.24 × 206.24
  4. Step 4: Simplify right side
    494.88x = 153,079.58
  5. Step 5: Solve for x
    x = 153,079.58/494.88
  6. Step 6: Final answer
    x = 309.33

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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.