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Finding the Fourth Proportional to 494.08, 681.74 and 297.54

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Solution

The fourth proportional to 494.08, 681.74 and 297.54 is: 410.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.08 : 681.74 = 297.54 : x
  2. Step 2: Convert to fraction form
    494.08/681.74 = 297.54/x
  3. Step 3: Cross multiply
    494.08x = 681.74 × 297.54
  4. Step 4: Simplify right side
    494.08x = 202,844.92
  5. Step 5: Solve for x
    x = 202,844.92/494.08
  6. Step 6: Final answer
    x = 410.55

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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.