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Finding the Fourth Proportional to 461.31, 635.90 and 362.90

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Solution

The fourth proportional to 461.31, 635.90 and 362.90 is: 500.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.31 : 635.90 = 362.90 : x
  2. Step 2: Convert to fraction form
    461.31/635.90 = 362.90/x
  3. Step 3: Cross multiply
    461.31x = 635.90 × 362.90
  4. Step 4: Simplify right side
    461.31x = 230,763.12
  5. Step 5: Solve for x
    x = 230,763.12/461.31
  6. Step 6: Final answer
    x = 500.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.