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Finding the Fourth Proportional to 497.83, 746.64 and 173.23

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Solution

The fourth proportional to 497.83, 746.64 and 173.23 is: 259.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.83 : 746.64 = 173.23 : x
  2. Step 2: Convert to fraction form
    497.83/746.64 = 173.23/x
  3. Step 3: Cross multiply
    497.83x = 746.64 × 173.23
  4. Step 4: Simplify right side
    497.83x = 129,340.45
  5. Step 5: Solve for x
    x = 129,340.45/497.83
  6. Step 6: Final answer
    x = 259.81

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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.