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Finding the Fourth Proportional to 496.33, 745.04 and 291.27

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Solution

The fourth proportional to 496.33, 745.04 and 291.27 is: 437.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.33 : 745.04 = 291.27 : x
  2. Step 2: Convert to fraction form
    496.33/745.04 = 291.27/x
  3. Step 3: Cross multiply
    496.33x = 745.04 × 291.27
  4. Step 4: Simplify right side
    496.33x = 217,007.80
  5. Step 5: Solve for x
    x = 217,007.80/496.33
  6. Step 6: Final answer
    x = 437.22

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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.