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Finding the Fourth Proportional to 635.39, 953.05 and 173.24

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Solution

The fourth proportional to 635.39, 953.05 and 173.24 is: 259.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.39 : 953.05 = 173.24 : x
  2. Step 2: Convert to fraction form
    635.39/953.05 = 173.24/x
  3. Step 3: Cross multiply
    635.39x = 953.05 × 173.24
  4. Step 4: Simplify right side
    635.39x = 165,106.38
  5. Step 5: Solve for x
    x = 165,106.38/635.39
  6. Step 6: Final answer
    x = 259.85

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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.