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Finding the Fourth Proportional to 723.18, 1,084.92 and 236.26

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Solution

The fourth proportional to 723.18, 1,084.92 and 236.26 is: 354.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.18 : 1,084.92 = 236.26 : x
  2. Step 2: Convert to fraction form
    723.18/1,084.92 = 236.26/x
  3. Step 3: Cross multiply
    723.18x = 1,084.92 × 236.26
  4. Step 4: Simplify right side
    723.18x = 256,323.20
  5. Step 5: Solve for x
    x = 256,323.20/723.18
  6. Step 6: Final answer
    x = 354.44

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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.