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Finding the Fourth Proportional to 550.39, 824.96 and 257.54

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Solution

The fourth proportional to 550.39, 824.96 and 257.54 is: 386.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.39 : 824.96 = 257.54 : x
  2. Step 2: Convert to fraction form
    550.39/824.96 = 257.54/x
  3. Step 3: Cross multiply
    550.39x = 824.96 × 257.54
  4. Step 4: Simplify right side
    550.39x = 212,460.20
  5. Step 5: Solve for x
    x = 212,460.20/550.39
  6. Step 6: Final answer
    x = 386.02

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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.