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Finding the Fourth Proportional to 635.41, 952.98 and 362.02

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Solution

The fourth proportional to 635.41, 952.98 and 362.02 is: 542.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.41 : 952.98 = 362.02 : x
  2. Step 2: Convert to fraction form
    635.41/952.98 = 362.02/x
  3. Step 3: Cross multiply
    635.41x = 952.98 × 362.02
  4. Step 4: Simplify right side
    635.41x = 344,997.82
  5. Step 5: Solve for x
    x = 344,997.82/635.41
  6. Step 6: Final answer
    x = 542.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.