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Finding the Fourth Proportional to 550.59, 826.24 and 429.09

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Solution

The fourth proportional to 550.59, 826.24 and 429.09 is: 643.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.59 : 826.24 = 429.09 : x
  2. Step 2: Convert to fraction form
    550.59/826.24 = 429.09/x
  3. Step 3: Cross multiply
    550.59x = 826.24 × 429.09
  4. Step 4: Simplify right side
    550.59x = 354,531.32
  5. Step 5: Solve for x
    x = 354,531.32/550.59
  6. Step 6: Final answer
    x = 643.91

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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.