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Finding the Fourth Proportional to 453.59, 679.80 and 179.45

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Solution

The fourth proportional to 453.59, 679.80 and 179.45 is: 268.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.59 : 679.80 = 179.45 : x
  2. Step 2: Convert to fraction form
    453.59/679.80 = 179.45/x
  3. Step 3: Cross multiply
    453.59x = 679.80 × 179.45
  4. Step 4: Simplify right side
    453.59x = 121,990.11
  5. Step 5: Solve for x
    x = 121,990.11/453.59
  6. Step 6: Final answer
    x = 268.94

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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.