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Finding the Fourth Proportional to 453.34, 680.51 and 423.59

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Solution

The fourth proportional to 453.34, 680.51 and 423.59 is: 635.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.34 : 680.51 = 423.59 : x
  2. Step 2: Convert to fraction form
    453.34/680.51 = 423.59/x
  3. Step 3: Cross multiply
    453.34x = 680.51 × 423.59
  4. Step 4: Simplify right side
    453.34x = 288,259.99
  5. Step 5: Solve for x
    x = 288,259.99/453.34
  6. Step 6: Final answer
    x = 635.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.