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Finding the Fourth Proportional to 494.09, 681.89 and 297.60

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Solution

The fourth proportional to 494.09, 681.89 and 297.60 is: 410.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.09 : 681.89 = 297.60 : x
  2. Step 2: Convert to fraction form
    494.09/681.89 = 297.60/x
  3. Step 3: Cross multiply
    494.09x = 681.89 × 297.60
  4. Step 4: Simplify right side
    494.09x = 202,928.98
  5. Step 5: Solve for x
    x = 202,928.98/494.09
  6. Step 6: Final answer
    x = 410.72

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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.