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Finding the Fourth Proportional to 492.92, 675.81 and 484.14

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Solution

The fourth proportional to 492.92, 675.81 and 484.14 is: 663.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.92 : 675.81 = 484.14 : x
  2. Step 2: Convert to fraction form
    492.92/675.81 = 484.14/x
  3. Step 3: Cross multiply
    492.92x = 675.81 × 484.14
  4. Step 4: Simplify right side
    492.92x = 327,186.65
  5. Step 5: Solve for x
    x = 327,186.65/492.92
  6. Step 6: Final answer
    x = 663.78

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.