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Finding the Fourth Proportional to 460.88, 636.32 and 350.92

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Solution

The fourth proportional to 460.88, 636.32 and 350.92 is: 484.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.88 : 636.32 = 350.92 : x
  2. Step 2: Convert to fraction form
    460.88/636.32 = 350.92/x
  3. Step 3: Cross multiply
    460.88x = 636.32 × 350.92
  4. Step 4: Simplify right side
    460.88x = 223,297.41
  5. Step 5: Solve for x
    x = 223,297.41/460.88
  6. Step 6: Final answer
    x = 484.50

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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.