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Finding the Fourth Proportional to 550.57, 825.71 and 290.22

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Solution

The fourth proportional to 550.57, 825.71 and 290.22 is: 435.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.57 : 825.71 = 290.22 : x
  2. Step 2: Convert to fraction form
    550.57/825.71 = 290.22/x
  3. Step 3: Cross multiply
    550.57x = 825.71 × 290.22
  4. Step 4: Simplify right side
    550.57x = 239,638.28
  5. Step 5: Solve for x
    x = 239,638.28/550.57
  6. Step 6: Final answer
    x = 435.26

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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.