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Finding the Fourth Proportional to 461.13, 636.42 and 264.63

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Solution

The fourth proportional to 461.13, 636.42 and 264.63 is: 365.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.13 : 636.42 = 264.63 : x
  2. Step 2: Convert to fraction form
    461.13/636.42 = 264.63/x
  3. Step 3: Cross multiply
    461.13x = 636.42 × 264.63
  4. Step 4: Simplify right side
    461.13x = 168,415.82
  5. Step 5: Solve for x
    x = 168,415.82/461.13
  6. Step 6: Final answer
    x = 365.22

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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.