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Finding the Fourth Proportional to 453.97, 680.35 and 259.03

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Solution

The fourth proportional to 453.97, 680.35 and 259.03 is: 388.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.97 : 680.35 = 259.03 : x
  2. Step 2: Convert to fraction form
    453.97/680.35 = 259.03/x
  3. Step 3: Cross multiply
    453.97x = 680.35 × 259.03
  4. Step 4: Simplify right side
    453.97x = 176,231.75
  5. Step 5: Solve for x
    x = 176,231.75/453.97
  6. Step 6: Final answer
    x = 388.20

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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.