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Finding the Fourth Proportional to 497.70, 746.68 and 173.06

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Solution

The fourth proportional to 497.70, 746.68 and 173.06 is: 259.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.70 : 746.68 = 173.06 : x
  2. Step 2: Convert to fraction form
    497.70/746.68 = 173.06/x
  3. Step 3: Cross multiply
    497.70x = 746.68 × 173.06
  4. Step 4: Simplify right side
    497.70x = 129,220.44
  5. Step 5: Solve for x
    x = 129,220.44/497.70
  6. Step 6: Final answer
    x = 259.64

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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.