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Finding the Fourth Proportional to 460.20, 635.09 and 261.07

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Solution

The fourth proportional to 460.20, 635.09 and 261.07 is: 360.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.20 : 635.09 = 261.07 : x
  2. Step 2: Convert to fraction form
    460.20/635.09 = 261.07/x
  3. Step 3: Cross multiply
    460.20x = 635.09 × 261.07
  4. Step 4: Simplify right side
    460.20x = 165,802.95
  5. Step 5: Solve for x
    x = 165,802.95/460.20
  6. Step 6: Final answer
    x = 360.28

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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.