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Finding the Fourth Proportional to 496.22, 743.78 and 334.76

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Solution

The fourth proportional to 496.22, 743.78 and 334.76 is: 501.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.22 : 743.78 = 334.76 : x
  2. Step 2: Convert to fraction form
    496.22/743.78 = 334.76/x
  3. Step 3: Cross multiply
    496.22x = 743.78 × 334.76
  4. Step 4: Simplify right side
    496.22x = 248,987.79
  5. Step 5: Solve for x
    x = 248,987.79/496.22
  6. Step 6: Final answer
    x = 501.77

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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.