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Finding the Fourth Proportional to 461.60, 635.12 and 399.23

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Solution

The fourth proportional to 461.60, 635.12 and 399.23 is: 549.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.60 : 635.12 = 399.23 : x
  2. Step 2: Convert to fraction form
    461.60/635.12 = 399.23/x
  3. Step 3: Cross multiply
    461.60x = 635.12 × 399.23
  4. Step 4: Simplify right side
    461.60x = 253,553.79
  5. Step 5: Solve for x
    x = 253,553.79/461.60
  6. Step 6: Final answer
    x = 549.30

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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.