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Finding the Fourth Proportional to 494.09, 681.79 and 284.22

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Solution

The fourth proportional to 494.09, 681.79 and 284.22 is: 392.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.09 : 681.79 = 284.22 : x
  2. Step 2: Convert to fraction form
    494.09/681.79 = 284.22/x
  3. Step 3: Cross multiply
    494.09x = 681.79 × 284.22
  4. Step 4: Simplify right side
    494.09x = 193,778.35
  5. Step 5: Solve for x
    x = 193,778.35/494.09
  6. Step 6: Final answer
    x = 392.19

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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.