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Finding the Fourth Proportional to 494.17, 681.82 and 297.64

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Solution

The fourth proportional to 494.17, 681.82 and 297.64 is: 410.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.17 : 681.82 = 297.64 : x
  2. Step 2: Convert to fraction form
    494.17/681.82 = 297.64/x
  3. Step 3: Cross multiply
    494.17x = 681.82 × 297.64
  4. Step 4: Simplify right side
    494.17x = 202,937.01
  5. Step 5: Solve for x
    x = 202,937.01/494.17
  6. Step 6: Final answer
    x = 410.66

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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.