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Finding the Fourth Proportional to 461.58, 635.86 and 321.45

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Solution

The fourth proportional to 461.58, 635.86 and 321.45 is: 442.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.58 : 635.86 = 321.45 : x
  2. Step 2: Convert to fraction form
    461.58/635.86 = 321.45/x
  3. Step 3: Cross multiply
    461.58x = 635.86 × 321.45
  4. Step 4: Simplify right side
    461.58x = 204,397.20
  5. Step 5: Solve for x
    x = 204,397.20/461.58
  6. Step 6: Final answer
    x = 442.82

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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.