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Finding the Fourth Proportional to 635.08, 951.86 and 269.10

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Solution

The fourth proportional to 635.08, 951.86 and 269.10 is: 403.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.08 : 951.86 = 269.10 : x
  2. Step 2: Convert to fraction form
    635.08/951.86 = 269.10/x
  3. Step 3: Cross multiply
    635.08x = 951.86 × 269.10
  4. Step 4: Simplify right side
    635.08x = 256,148.22
  5. Step 5: Solve for x
    x = 256,148.22/635.08
  6. Step 6: Final answer
    x = 403.33

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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.