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Finding the Fourth Proportional to 734.24, 1,101.24 and 247.22

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Solution

The fourth proportional to 734.24, 1,101.24 and 247.22 is: 370.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.24 : 1,101.24 = 247.22 : x
  2. Step 2: Convert to fraction form
    734.24/1,101.24 = 247.22/x
  3. Step 3: Cross multiply
    734.24x = 1,101.24 × 247.22
  4. Step 4: Simplify right side
    734.24x = 272,248.55
  5. Step 5: Solve for x
    x = 272,248.55/734.24
  6. Step 6: Final answer
    x = 370.79

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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.