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Finding the Fourth Proportional to 497.00, 744.93 and 172.10

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Solution

The fourth proportional to 497.00, 744.93 and 172.10 is: 257.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.00 : 744.93 = 172.10 : x
  2. Step 2: Convert to fraction form
    497.00/744.93 = 172.10/x
  3. Step 3: Cross multiply
    497.00x = 744.93 × 172.10
  4. Step 4: Simplify right side
    497.00x = 128,198.73
  5. Step 5: Solve for x
    x = 128,198.73/497.00
  6. Step 6: Final answer
    x = 257.95

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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.