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Finding the Fourth Proportional to 461.13, 635.48 and 329.91

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Solution

The fourth proportional to 461.13, 635.48 and 329.91 is: 454.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.13 : 635.48 = 329.91 : x
  2. Step 2: Convert to fraction form
    461.13/635.48 = 329.91/x
  3. Step 3: Cross multiply
    461.13x = 635.48 × 329.91
  4. Step 4: Simplify right side
    461.13x = 209,652.03
  5. Step 5: Solve for x
    x = 209,652.03/461.13
  6. Step 6: Final answer
    x = 454.65

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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.