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Finding the Fourth Proportional to 494.23, 682.37 and 307.98

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Solution

The fourth proportional to 494.23, 682.37 and 307.98 is: 425.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.23 : 682.37 = 307.98 : x
  2. Step 2: Convert to fraction form
    494.23/682.37 = 307.98/x
  3. Step 3: Cross multiply
    494.23x = 682.37 × 307.98
  4. Step 4: Simplify right side
    494.23x = 210,156.48
  5. Step 5: Solve for x
    x = 210,156.48/494.23
  6. Step 6: Final answer
    x = 425.22

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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.