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Finding the Fourth Proportional to 635.53, 953.35 and 173.35

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Solution

The fourth proportional to 635.53, 953.35 and 173.35 is: 260.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.53 : 953.35 = 173.35 : x
  2. Step 2: Convert to fraction form
    635.53/953.35 = 173.35/x
  3. Step 3: Cross multiply
    635.53x = 953.35 × 173.35
  4. Step 4: Simplify right side
    635.53x = 165,260.41
  5. Step 5: Solve for x
    x = 165,260.41/635.53
  6. Step 6: Final answer
    x = 260.04

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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.