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Finding the Fourth Proportional to 550.40, 827.40 and 471.20

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Solution

The fourth proportional to 550.40, 827.40 and 471.20 is: 708.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.40 : 827.40 = 471.20 : x
  2. Step 2: Convert to fraction form
    550.40/827.40 = 471.20/x
  3. Step 3: Cross multiply
    550.40x = 827.40 × 471.20
  4. Step 4: Simplify right side
    550.40x = 389,870.88
  5. Step 5: Solve for x
    x = 389,870.88/550.40
  6. Step 6: Final answer
    x = 708.34

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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.