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Finding the Fourth Proportional to 494.02, 681.72 and 297.54

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Solution

The fourth proportional to 494.02, 681.72 and 297.54 is: 410.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.02 : 681.72 = 297.54 : x
  2. Step 2: Convert to fraction form
    494.02/681.72 = 297.54/x
  3. Step 3: Cross multiply
    494.02x = 681.72 × 297.54
  4. Step 4: Simplify right side
    494.02x = 202,838.97
  5. Step 5: Solve for x
    x = 202,838.97/494.02
  6. Step 6: Final answer
    x = 410.59

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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.