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Finding the Fourth Proportional to 635.41, 950.48 and 596.53

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Solution

The fourth proportional to 635.41, 950.48 and 596.53 is: 892.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.41 : 950.48 = 596.53 : x
  2. Step 2: Convert to fraction form
    635.41/950.48 = 596.53/x
  3. Step 3: Cross multiply
    635.41x = 950.48 × 596.53
  4. Step 4: Simplify right side
    635.41x = 566,992.51
  5. Step 5: Solve for x
    x = 566,992.51/635.41
  6. Step 6: Final answer
    x = 892.32

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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.