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Finding the Fourth Proportional to 460.66, 635.73 and 264.22

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Solution

The fourth proportional to 460.66, 635.73 and 264.22 is: 364.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.66 : 635.73 = 264.22 : x
  2. Step 2: Convert to fraction form
    460.66/635.73 = 264.22/x
  3. Step 3: Cross multiply
    460.66x = 635.73 × 264.22
  4. Step 4: Simplify right side
    460.66x = 167,972.58
  5. Step 5: Solve for x
    x = 167,972.58/460.66
  6. Step 6: Final answer
    x = 364.63

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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.