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Finding the Fourth Proportional to 453.09, 680.21 and 391.78

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Solution

The fourth proportional to 453.09, 680.21 and 391.78 is: 588.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.09 : 680.21 = 391.78 : x
  2. Step 2: Convert to fraction form
    453.09/680.21 = 391.78/x
  3. Step 3: Cross multiply
    453.09x = 680.21 × 391.78
  4. Step 4: Simplify right side
    453.09x = 266,491.57
  5. Step 5: Solve for x
    x = 266,491.57/453.09
  6. Step 6: Final answer
    x = 588.16

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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.