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Finding the Fourth Proportional to 460.62, 635.67 and 264.15

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Solution

The fourth proportional to 460.62, 635.67 and 264.15 is: 364.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.62 : 635.67 = 264.15 : x
  2. Step 2: Convert to fraction form
    460.62/635.67 = 264.15/x
  3. Step 3: Cross multiply
    460.62x = 635.67 × 264.15
  4. Step 4: Simplify right side
    460.62x = 167,912.23
  5. Step 5: Solve for x
    x = 167,912.23/460.62
  6. Step 6: Final answer
    x = 364.54

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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.