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Finding the Fourth Proportional to 635.83, 952.54 and 362.11

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Solution

The fourth proportional to 635.83, 952.54 and 362.11 is: 542.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.83 : 952.54 = 362.11 : x
  2. Step 2: Convert to fraction form
    635.83/952.54 = 362.11/x
  3. Step 3: Cross multiply
    635.83x = 952.54 × 362.11
  4. Step 4: Simplify right side
    635.83x = 344,922.45
  5. Step 5: Solve for x
    x = 344,922.45/635.83
  6. Step 6: Final answer
    x = 542.48

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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.