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Finding the Fourth Proportional to 772.24, 1,158.23 and 224.30

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Solution

The fourth proportional to 772.24, 1,158.23 and 224.30 is: 336.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.24 : 1,158.23 = 224.30 : x
  2. Step 2: Convert to fraction form
    772.24/1,158.23 = 224.30/x
  3. Step 3: Cross multiply
    772.24x = 1,158.23 × 224.30
  4. Step 4: Simplify right side
    772.24x = 259,790.99
  5. Step 5: Solve for x
    x = 259,790.99/772.24
  6. Step 6: Final answer
    x = 336.41

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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.