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Finding the Fourth Proportional to 496.51, 743.22 and 444.34

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Solution

The fourth proportional to 496.51, 743.22 and 444.34 is: 665.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.51 : 743.22 = 444.34 : x
  2. Step 2: Convert to fraction form
    496.51/743.22 = 444.34/x
  3. Step 3: Cross multiply
    496.51x = 743.22 × 444.34
  4. Step 4: Simplify right side
    496.51x = 330,242.37
  5. Step 5: Solve for x
    x = 330,242.37/496.51
  6. Step 6: Final answer
    x = 665.13

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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.