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Finding the Fourth Proportional to 460.86, 636.15 and 314.25

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Solution

The fourth proportional to 460.86, 636.15 and 314.25 is: 433.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.86 : 636.15 = 314.25 : x
  2. Step 2: Convert to fraction form
    460.86/636.15 = 314.25/x
  3. Step 3: Cross multiply
    460.86x = 636.15 × 314.25
  4. Step 4: Simplify right side
    460.86x = 199,910.14
  5. Step 5: Solve for x
    x = 199,910.14/460.86
  6. Step 6: Final answer
    x = 433.78

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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.