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Finding the Fourth Proportional to 495.46, 683.23 and 298.85

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Solution

The fourth proportional to 495.46, 683.23 and 298.85 is: 412.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.46 : 683.23 = 298.85 : x
  2. Step 2: Convert to fraction form
    495.46/683.23 = 298.85/x
  3. Step 3: Cross multiply
    495.46x = 683.23 × 298.85
  4. Step 4: Simplify right side
    495.46x = 204,182.54
  5. Step 5: Solve for x
    x = 204,182.54/495.46
  6. Step 6: Final answer
    x = 412.11

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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.