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Finding the Fourth Proportional to 461.25, 636.58 and 264.73

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Solution

The fourth proportional to 461.25, 636.58 and 264.73 is: 365.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.25 : 636.58 = 264.73 : x
  2. Step 2: Convert to fraction form
    461.25/636.58 = 264.73/x
  3. Step 3: Cross multiply
    461.25x = 636.58 × 264.73
  4. Step 4: Simplify right side
    461.25x = 168,518.48
  5. Step 5: Solve for x
    x = 168,518.48/461.25
  6. Step 6: Final answer
    x = 365.35

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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.