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Finding the Fourth Proportional to 461.68, 636.92 and 265.04

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Solution

The fourth proportional to 461.68, 636.92 and 265.04 is: 365.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.68 : 636.92 = 265.04 : x
  2. Step 2: Convert to fraction form
    461.68/636.92 = 265.04/x
  3. Step 3: Cross multiply
    461.68x = 636.92 × 265.04
  4. Step 4: Simplify right side
    461.68x = 168,809.28
  5. Step 5: Solve for x
    x = 168,809.28/461.68
  6. Step 6: Final answer
    x = 365.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.