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Finding the Fourth Proportional to 723.19, 1,084.41 and 290.35

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Solution

The fourth proportional to 723.19, 1,084.41 and 290.35 is: 435.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.19 : 1,084.41 = 290.35 : x
  2. Step 2: Convert to fraction form
    723.19/1,084.41 = 290.35/x
  3. Step 3: Cross multiply
    723.19x = 1,084.41 × 290.35
  4. Step 4: Simplify right side
    723.19x = 314,858.44
  5. Step 5: Solve for x
    x = 314,858.44/723.19
  6. Step 6: Final answer
    x = 435.37

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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.