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Finding the Fourth Proportional to 461, 636.22 and 264.53

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Solution

The fourth proportional to 461, 636.22 and 264.53 is: 365.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    461 : 636.22 = 264.53 : x
  2. Step 2: Convert to fraction form
    461/636.22 = 264.53/x
  3. Step 3: Cross multiply
    461x = 636.22 × 264.53
  4. Step 4: Simplify right side
    461x = 168,299.28
  5. Step 5: Solve for x
    x = 168,299.28/461
  6. Step 6: Final answer
    x = 365.07

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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.