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Finding the Fourth Proportional to 461.09, 636.26 and 264.57

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Solution

The fourth proportional to 461.09, 636.26 and 264.57 is: 365.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.09 : 636.26 = 264.57 : x
  2. Step 2: Convert to fraction form
    461.09/636.26 = 264.57/x
  3. Step 3: Cross multiply
    461.09x = 636.26 × 264.57
  4. Step 4: Simplify right side
    461.09x = 168,335.31
  5. Step 5: Solve for x
    x = 168,335.31/461.09
  6. Step 6: Final answer
    x = 365.08

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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.