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Finding the Fourth Proportional to 453.69, 679.71 and 209.88

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Solution

The fourth proportional to 453.69, 679.71 and 209.88 is: 314.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.69 : 679.71 = 209.88 : x
  2. Step 2: Convert to fraction form
    453.69/679.71 = 209.88/x
  3. Step 3: Cross multiply
    453.69x = 679.71 × 209.88
  4. Step 4: Simplify right side
    453.69x = 142,657.53
  5. Step 5: Solve for x
    x = 142,657.53/453.69
  6. Step 6: Final answer
    x = 314.44

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