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Finding the Fourth Proportional to 461.37, 636.71 and 264.94

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Solution

The fourth proportional to 461.37, 636.71 and 264.94 is: 365.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.37 : 636.71 = 264.94 : x
  2. Step 2: Convert to fraction form
    461.37/636.71 = 264.94/x
  3. Step 3: Cross multiply
    461.37x = 636.71 × 264.94
  4. Step 4: Simplify right side
    461.37x = 168,692.10
  5. Step 5: Solve for x
    x = 168,692.10/461.37
  6. Step 6: Final answer
    x = 365.63

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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.