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Finding the Fourth Proportional to 496.16, 745.24 and 381.14

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Solution

The fourth proportional to 496.16, 745.24 and 381.14 is: 572.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.16 : 745.24 = 381.14 : x
  2. Step 2: Convert to fraction form
    496.16/745.24 = 381.14/x
  3. Step 3: Cross multiply
    496.16x = 745.24 × 381.14
  4. Step 4: Simplify right side
    496.16x = 284,040.77
  5. Step 5: Solve for x
    x = 284,040.77/496.16
  6. Step 6: Final answer
    x = 572.48

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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.