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Finding the Fourth Proportional to 550.69, 826.11 and 420.94

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Solution

The fourth proportional to 550.69, 826.11 and 420.94 is: 631.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.69 : 826.11 = 420.94 : x
  2. Step 2: Convert to fraction form
    550.69/826.11 = 420.94/x
  3. Step 3: Cross multiply
    550.69x = 826.11 × 420.94
  4. Step 4: Simplify right side
    550.69x = 347,742.74
  5. Step 5: Solve for x
    x = 347,742.74/550.69
  6. Step 6: Final answer
    x = 631.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.