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Finding the Fourth Proportional to 635.87, 953.72 and 173.58

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Solution

The fourth proportional to 635.87, 953.72 and 173.58 is: 260.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.87 : 953.72 = 173.58 : x
  2. Step 2: Convert to fraction form
    635.87/953.72 = 173.58/x
  3. Step 3: Cross multiply
    635.87x = 953.72 × 173.58
  4. Step 4: Simplify right side
    635.87x = 165,542.92
  5. Step 5: Solve for x
    x = 165,542.92/635.87
  6. Step 6: Final answer
    x = 260.34

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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.