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Finding the Fourth Proportional to 723.38, 1,084.98 and 290.22

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Solution

The fourth proportional to 723.38, 1,084.98 and 290.22 is: 435.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.38 : 1,084.98 = 290.22 : x
  2. Step 2: Convert to fraction form
    723.38/1,084.98 = 290.22/x
  3. Step 3: Cross multiply
    723.38x = 1,084.98 × 290.22
  4. Step 4: Simplify right side
    723.38x = 314,882.90
  5. Step 5: Solve for x
    x = 314,882.90/723.38
  6. Step 6: Final answer
    x = 435.29

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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.