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Finding the Fourth Proportional to 461.04, 635.22 and 427.56

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Solution

The fourth proportional to 461.04, 635.22 and 427.56 is: 589.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.04 : 635.22 = 427.56 : x
  2. Step 2: Convert to fraction form
    461.04/635.22 = 427.56/x
  3. Step 3: Cross multiply
    461.04x = 635.22 × 427.56
  4. Step 4: Simplify right side
    461.04x = 271,594.66
  5. Step 5: Solve for x
    x = 271,594.66/461.04
  6. Step 6: Final answer
    x = 589.09

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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.