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Finding the Fourth Proportional to 461.81, 635.38 and 399.44

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Solution

The fourth proportional to 461.81, 635.38 and 399.44 is: 549.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.81 : 635.38 = 399.44 : x
  2. Step 2: Convert to fraction form
    461.81/635.38 = 399.44/x
  3. Step 3: Cross multiply
    461.81x = 635.38 × 399.44
  4. Step 4: Simplify right side
    461.81x = 253,796.78
  5. Step 5: Solve for x
    x = 253,796.78/461.81
  6. Step 6: Final answer
    x = 549.57

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Why These Related Problems?

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