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Finding the Fourth Proportional to 550.05, 825.54 and 290.34

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Solution

The fourth proportional to 550.05, 825.54 and 290.34 is: 435.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.05 : 825.54 = 290.34 : x
  2. Step 2: Convert to fraction form
    550.05/825.54 = 290.34/x
  3. Step 3: Cross multiply
    550.05x = 825.54 × 290.34
  4. Step 4: Simplify right side
    550.05x = 239,687.28
  5. Step 5: Solve for x
    x = 239,687.28/550.05
  6. Step 6: Final answer
    x = 435.76

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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.