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Finding the Fourth Proportional to 497.62, 746.40 and 172.96

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Solution

The fourth proportional to 497.62, 746.40 and 172.96 is: 259.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.62 : 746.40 = 172.96 : x
  2. Step 2: Convert to fraction form
    497.62/746.40 = 172.96/x
  3. Step 3: Cross multiply
    497.62x = 746.40 × 172.96
  4. Step 4: Simplify right side
    497.62x = 129,097.34
  5. Step 5: Solve for x
    x = 129,097.34/497.62
  6. Step 6: Final answer
    x = 259.43

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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.