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Finding the Fourth Proportional to 550.80, 826.74 and 460.08

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Solution

The fourth proportional to 550.80, 826.74 and 460.08 is: 690.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.80 : 826.74 = 460.08 : x
  2. Step 2: Convert to fraction form
    550.80/826.74 = 460.08/x
  3. Step 3: Cross multiply
    550.80x = 826.74 × 460.08
  4. Step 4: Simplify right side
    550.80x = 380,366.54
  5. Step 5: Solve for x
    x = 380,366.54/550.80
  6. Step 6: Final answer
    x = 690.57

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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.