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Finding the Fourth Proportional to 452.99, 679.49 and 179.21

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Solution

The fourth proportional to 452.99, 679.49 and 179.21 is: 268.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.99 : 679.49 = 179.21 : x
  2. Step 2: Convert to fraction form
    452.99/679.49 = 179.21/x
  3. Step 3: Cross multiply
    452.99x = 679.49 × 179.21
  4. Step 4: Simplify right side
    452.99x = 121,771.40
  5. Step 5: Solve for x
    x = 121,771.40/452.99
  6. Step 6: Final answer
    x = 268.82

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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.