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Finding the Fourth Proportional to 635.47, 953.21 and 173.25

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Solution

The fourth proportional to 635.47, 953.21 and 173.25 is: 259.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.47 : 953.21 = 173.25 : x
  2. Step 2: Convert to fraction form
    635.47/953.21 = 173.25/x
  3. Step 3: Cross multiply
    635.47x = 953.21 × 173.25
  4. Step 4: Simplify right side
    635.47x = 165,143.63
  5. Step 5: Solve for x
    x = 165,143.63/635.47
  6. Step 6: Final answer
    x = 259.88

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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.