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Finding the Fourth Proportional to 497.57, 746.48 and 172.94

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Solution

The fourth proportional to 497.57, 746.48 and 172.94 is: 259.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.57 : 746.48 = 172.94 : x
  2. Step 2: Convert to fraction form
    497.57/746.48 = 172.94/x
  3. Step 3: Cross multiply
    497.57x = 746.48 × 172.94
  4. Step 4: Simplify right side
    497.57x = 129,092.95
  5. Step 5: Solve for x
    x = 129,092.95/497.57
  6. Step 6: Final answer
    x = 259.45

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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.