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Finding the Fourth Proportional to 453.03, 679.77 and 209.27

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Solution

The fourth proportional to 453.03, 679.77 and 209.27 is: 314.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.03 : 679.77 = 209.27 : x
  2. Step 2: Convert to fraction form
    453.03/679.77 = 209.27/x
  3. Step 3: Cross multiply
    453.03x = 679.77 × 209.27
  4. Step 4: Simplify right side
    453.03x = 142,252.07
  5. Step 5: Solve for x
    x = 142,252.07/453.03
  6. Step 6: Final answer
    x = 314.00

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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.