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Finding the Fourth Proportional to 460.87, 635.86 and 264.37

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Solution

The fourth proportional to 460.87, 635.86 and 264.37 is: 364.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.87 : 635.86 = 264.37 : x
  2. Step 2: Convert to fraction form
    460.87/635.86 = 264.37/x
  3. Step 3: Cross multiply
    460.87x = 635.86 × 264.37
  4. Step 4: Simplify right side
    460.87x = 168,102.31
  5. Step 5: Solve for x
    x = 168,102.31/460.87
  6. Step 6: Final answer
    x = 364.75

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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.