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Finding the Fourth Proportional to 453.17, 679.76 and 209.63

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Solution

The fourth proportional to 453.17, 679.76 and 209.63 is: 314.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.17 : 679.76 = 209.63 : x
  2. Step 2: Convert to fraction form
    453.17/679.76 = 209.63/x
  3. Step 3: Cross multiply
    453.17x = 679.76 × 209.63
  4. Step 4: Simplify right side
    453.17x = 142,493.64
  5. Step 5: Solve for x
    x = 142,493.64/453.17
  6. Step 6: Final answer
    x = 314.44

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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.