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Finding the Fourth Proportional to 723.21, 1,084.38 and 352.29

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Solution

The fourth proportional to 723.21, 1,084.38 and 352.29 is: 528.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.21 : 1,084.38 = 352.29 : x
  2. Step 2: Convert to fraction form
    723.21/1,084.38 = 352.29/x
  3. Step 3: Cross multiply
    723.21x = 1,084.38 × 352.29
  4. Step 4: Simplify right side
    723.21x = 382,016.23
  5. Step 5: Solve for x
    x = 382,016.23/723.21
  6. Step 6: Final answer
    x = 528.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.