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Finding the Fourth Proportional to 496.70, 744.98 and 172.02

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Solution

The fourth proportional to 496.70, 744.98 and 172.02 is: 258.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.70 : 744.98 = 172.02 : x
  2. Step 2: Convert to fraction form
    496.70/744.98 = 172.02/x
  3. Step 3: Cross multiply
    496.70x = 744.98 × 172.02
  4. Step 4: Simplify right side
    496.70x = 128,151.46
  5. Step 5: Solve for x
    x = 128,151.46/496.70
  6. Step 6: Final answer
    x = 258.01

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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.