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Finding the Fourth Proportional to 453.09, 679.84 and 209.49

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Solution

The fourth proportional to 453.09, 679.84 and 209.49 is: 314.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.09 : 679.84 = 209.49 : x
  2. Step 2: Convert to fraction form
    453.09/679.84 = 209.49/x
  3. Step 3: Cross multiply
    453.09x = 679.84 × 209.49
  4. Step 4: Simplify right side
    453.09x = 142,417.79
  5. Step 5: Solve for x
    x = 142,417.79/453.09
  6. Step 6: Final answer
    x = 314.32

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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.