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Finding the Fourth Proportional to 453.46, 679.77 and 179.71

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Solution

The fourth proportional to 453.46, 679.77 and 179.71 is: 269.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.46 : 679.77 = 179.71 : x
  2. Step 2: Convert to fraction form
    453.46/679.77 = 179.71/x
  3. Step 3: Cross multiply
    453.46x = 679.77 × 179.71
  4. Step 4: Simplify right side
    453.46x = 122,158.07
  5. Step 5: Solve for x
    x = 122,158.07/453.46
  6. Step 6: Final answer
    x = 269.39

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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.