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Finding the Fourth Proportional to 635.27, 952.24 and 461.50

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Solution

The fourth proportional to 635.27, 952.24 and 461.50 is: 691.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.27 : 952.24 = 461.50 : x
  2. Step 2: Convert to fraction form
    635.27/952.24 = 461.50/x
  3. Step 3: Cross multiply
    635.27x = 952.24 × 461.50
  4. Step 4: Simplify right side
    635.27x = 439,458.76
  5. Step 5: Solve for x
    x = 439,458.76/635.27
  6. Step 6: Final answer
    x = 691.77

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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.