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Finding the Fourth Proportional to 453.53, 680.57 and 419.71

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Solution

The fourth proportional to 453.53, 680.57 and 419.71 is: 629.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.53 : 680.57 = 419.71 : x
  2. Step 2: Convert to fraction form
    453.53/680.57 = 419.71/x
  3. Step 3: Cross multiply
    453.53x = 680.57 × 419.71
  4. Step 4: Simplify right side
    453.53x = 285,642.03
  5. Step 5: Solve for x
    x = 285,642.03/453.53
  6. Step 6: Final answer
    x = 629.82

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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.