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Finding the Fourth Proportional to 497.17, 745.92 and 223.45

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Solution

The fourth proportional to 497.17, 745.92 and 223.45 is: 335.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.17 : 745.92 = 223.45 : x
  2. Step 2: Convert to fraction form
    497.17/745.92 = 223.45/x
  3. Step 3: Cross multiply
    497.17x = 745.92 × 223.45
  4. Step 4: Simplify right side
    497.17x = 166,675.82
  5. Step 5: Solve for x
    x = 166,675.82/497.17
  6. Step 6: Final answer
    x = 335.25

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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.