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Finding the Fourth Proportional to 496.03, 743.58 and 171.22

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Solution

The fourth proportional to 496.03, 743.58 and 171.22 is: 256.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.03 : 743.58 = 171.22 : x
  2. Step 2: Convert to fraction form
    496.03/743.58 = 171.22/x
  3. Step 3: Cross multiply
    496.03x = 743.58 × 171.22
  4. Step 4: Simplify right side
    496.03x = 127,315.77
  5. Step 5: Solve for x
    x = 127,315.77/496.03
  6. Step 6: Final answer
    x = 256.67

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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.