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Finding the Fourth Proportional to 497.75, 745.74 and 223.29

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Solution

The fourth proportional to 497.75, 745.74 and 223.29 is: 334.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.75 : 745.74 = 223.29 : x
  2. Step 2: Convert to fraction form
    497.75/745.74 = 223.29/x
  3. Step 3: Cross multiply
    497.75x = 745.74 × 223.29
  4. Step 4: Simplify right side
    497.75x = 166,516.28
  5. Step 5: Solve for x
    x = 166,516.28/497.75
  6. Step 6: Final answer
    x = 334.54

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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.