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Finding the Fourth Proportional to 461.18, 636.42 and 264.75

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Solution

The fourth proportional to 461.18, 636.42 and 264.75 is: 365.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.18 : 636.42 = 264.75 : x
  2. Step 2: Convert to fraction form
    461.18/636.42 = 264.75/x
  3. Step 3: Cross multiply
    461.18x = 636.42 × 264.75
  4. Step 4: Simplify right side
    461.18x = 168,491.95
  5. Step 5: Solve for x
    x = 168,491.95/461.18
  6. Step 6: Final answer
    x = 365.35

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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.