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Finding the Fourth Proportional to 713.26, 1,069.75 and 226.32

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Solution

The fourth proportional to 713.26, 1,069.75 and 226.32 is: 339.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.26 : 1,069.75 = 226.32 : x
  2. Step 2: Convert to fraction form
    713.26/1,069.75 = 226.32/x
  3. Step 3: Cross multiply
    713.26x = 1,069.75 × 226.32
  4. Step 4: Simplify right side
    713.26x = 242,105.82
  5. Step 5: Solve for x
    x = 242,105.82/713.26
  6. Step 6: Final answer
    x = 339.44

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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.