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Finding the Fourth Proportional to 497.23, 745.69 and 172.56

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Solution

The fourth proportional to 497.23, 745.69 and 172.56 is: 258.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.23 : 745.69 = 172.56 : x
  2. Step 2: Convert to fraction form
    497.23/745.69 = 172.56/x
  3. Step 3: Cross multiply
    497.23x = 745.69 × 172.56
  4. Step 4: Simplify right side
    497.23x = 128,676.27
  5. Step 5: Solve for x
    x = 128,676.27/497.23
  6. Step 6: Final answer
    x = 258.79

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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.