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Finding the Fourth Proportional to 492.75, 680.00 and 306.11

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Solution

The fourth proportional to 492.75, 680.00 and 306.11 is: 422.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.75 : 680.00 = 306.11 : x
  2. Step 2: Convert to fraction form
    492.75/680.00 = 306.11/x
  3. Step 3: Cross multiply
    492.75x = 680.00 × 306.11
  4. Step 4: Simplify right side
    492.75x = 208,154.97
  5. Step 5: Solve for x
    x = 208,154.97/492.75
  6. Step 6: Final answer
    x = 422.44

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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.