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Finding the Fourth Proportional to 423.74, 635.80 and 207.26

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Solution

The fourth proportional to 423.74, 635.80 and 207.26 is: 310.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.74 : 635.80 = 207.26 : x
  2. Step 2: Convert to fraction form
    423.74/635.80 = 207.26/x
  3. Step 3: Cross multiply
    423.74x = 635.80 × 207.26
  4. Step 4: Simplify right side
    423.74x = 131,775.91
  5. Step 5: Solve for x
    x = 131,775.91/423.74
  6. Step 6: Final answer
    x = 310.98

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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.