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Finding the Fourth Proportional to 497.09, 745.37 and 381.25

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Solution

The fourth proportional to 497.09, 745.37 and 381.25 is: 571.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.09 : 745.37 = 381.25 : x
  2. Step 2: Convert to fraction form
    497.09/745.37 = 381.25/x
  3. Step 3: Cross multiply
    497.09x = 745.37 × 381.25
  4. Step 4: Simplify right side
    497.09x = 284,168.54
  5. Step 5: Solve for x
    x = 284,168.54/497.09
  6. Step 6: Final answer
    x = 571.67

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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.