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Finding the Fourth Proportional to 494.12, 682.23 and 307.69

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Solution

The fourth proportional to 494.12, 682.23 and 307.69 is: 424.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.12 : 682.23 = 307.69 : x
  2. Step 2: Convert to fraction form
    494.12/682.23 = 307.69/x
  3. Step 3: Cross multiply
    494.12x = 682.23 × 307.69
  4. Step 4: Simplify right side
    494.12x = 209,915.35
  5. Step 5: Solve for x
    x = 209,915.35/494.12
  6. Step 6: Final answer
    x = 424.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.