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Finding the Fourth Proportional to 461.14, 636.32 and 264.61

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Solution

The fourth proportional to 461.14, 636.32 and 264.61 is: 365.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.14 : 636.32 = 264.61 : x
  2. Step 2: Convert to fraction form
    461.14/636.32 = 264.61/x
  3. Step 3: Cross multiply
    461.14x = 636.32 × 264.61
  4. Step 4: Simplify right side
    461.14x = 168,378.09
  5. Step 5: Solve for x
    x = 168,378.09/461.14
  6. Step 6: Final answer
    x = 365.14

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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.