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Finding the Fourth Proportional to 635.37, 950.46 and 537.25

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Solution

The fourth proportional to 635.37, 950.46 and 537.25 is: 803.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.37 : 950.46 = 537.25 : x
  2. Step 2: Convert to fraction form
    635.37/950.46 = 537.25/x
  3. Step 3: Cross multiply
    635.37x = 950.46 × 537.25
  4. Step 4: Simplify right side
    635.37x = 510,634.64
  5. Step 5: Solve for x
    x = 510,634.64/635.37
  6. Step 6: Final answer
    x = 803.68

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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.