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Finding the Fourth Proportional to 550.71, 825.63 and 474.57

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Solution

The fourth proportional to 550.71, 825.63 and 474.57 is: 711.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.71 : 825.63 = 474.57 : x
  2. Step 2: Convert to fraction form
    550.71/825.63 = 474.57/x
  3. Step 3: Cross multiply
    550.71x = 825.63 × 474.57
  4. Step 4: Simplify right side
    550.71x = 391,819.23
  5. Step 5: Solve for x
    x = 391,819.23/550.71
  6. Step 6: Final answer
    x = 711.48

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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.