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Finding the Fourth Proportional to 496.22, 743.16 and 460.58

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Solution

The fourth proportional to 496.22, 743.16 and 460.58 is: 689.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.22 : 743.16 = 460.58 : x
  2. Step 2: Convert to fraction form
    496.22/743.16 = 460.58/x
  3. Step 3: Cross multiply
    496.22x = 743.16 × 460.58
  4. Step 4: Simplify right side
    496.22x = 342,284.63
  5. Step 5: Solve for x
    x = 342,284.63/496.22
  6. Step 6: Final answer
    x = 689.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.