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Finding the Fourth Proportional to 548.96, 822.57 and 365.69

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Solution

The fourth proportional to 548.96, 822.57 and 365.69 is: 547.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.96 : 822.57 = 365.69 : x
  2. Step 2: Convert to fraction form
    548.96/822.57 = 365.69/x
  3. Step 3: Cross multiply
    548.96x = 822.57 × 365.69
  4. Step 4: Simplify right side
    548.96x = 300,801.51
  5. Step 5: Solve for x
    x = 300,801.51/548.96
  6. Step 6: Final answer
    x = 547.95

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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.