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Finding the Fourth Proportional to 452.82, 679.41 and 164.28

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Solution

The fourth proportional to 452.82, 679.41 and 164.28 is: 246.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.82 : 679.41 = 164.28 : x
  2. Step 2: Convert to fraction form
    452.82/679.41 = 164.28/x
  3. Step 3: Cross multiply
    452.82x = 679.41 × 164.28
  4. Step 4: Simplify right side
    452.82x = 111,613.47
  5. Step 5: Solve for x
    x = 111,613.47/452.82
  6. Step 6: Final answer
    x = 246.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.