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Finding the Fourth Proportional to 550, 825.41 and 358.03

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Solution

The fourth proportional to 550, 825.41 and 358.03 is: 537.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    550 : 825.41 = 358.03 : x
  2. Step 2: Convert to fraction form
    550/825.41 = 358.03/x
  3. Step 3: Cross multiply
    550x = 825.41 × 358.03
  4. Step 4: Simplify right side
    550x = 295,521.54
  5. Step 5: Solve for x
    x = 295,521.54/550
  6. Step 6: Final answer
    x = 537.31

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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.