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Finding the Fourth Proportional to 461.22, 635.40 and 328.38

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Solution

The fourth proportional to 461.22, 635.40 and 328.38 is: 452.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.22 : 635.40 = 328.38 : x
  2. Step 2: Convert to fraction form
    461.22/635.40 = 328.38/x
  3. Step 3: Cross multiply
    461.22x = 635.40 × 328.38
  4. Step 4: Simplify right side
    461.22x = 208,652.65
  5. Step 5: Solve for x
    x = 208,652.65/461.22
  6. Step 6: Final answer
    x = 452.39

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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.