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Finding the Fourth Proportional to 495.54, 682.11 and 412.85

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Solution

The fourth proportional to 495.54, 682.11 and 412.85 is: 568.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.54 : 682.11 = 412.85 : x
  2. Step 2: Convert to fraction form
    495.54/682.11 = 412.85/x
  3. Step 3: Cross multiply
    495.54x = 682.11 × 412.85
  4. Step 4: Simplify right side
    495.54x = 281,610.82
  5. Step 5: Solve for x
    x = 281,610.82/495.54
  6. Step 6: Final answer
    x = 568.29

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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.