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Finding the Fourth Proportional to 494.16, 682.26 and 317.22

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Solution

The fourth proportional to 494.16, 682.26 and 317.22 is: 437.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.16 : 682.26 = 317.22 : x
  2. Step 2: Convert to fraction form
    494.16/682.26 = 317.22/x
  3. Step 3: Cross multiply
    494.16x = 682.26 × 317.22
  4. Step 4: Simplify right side
    494.16x = 216,426.52
  5. Step 5: Solve for x
    x = 216,426.52/494.16
  6. Step 6: Final answer
    x = 437.97

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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.