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Finding the Fourth Proportional to 548.36, 822.54 and 353.65

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Solution

The fourth proportional to 548.36, 822.54 and 353.65 is: 530.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.36 : 822.54 = 353.65 : x
  2. Step 2: Convert to fraction form
    548.36/822.54 = 353.65/x
  3. Step 3: Cross multiply
    548.36x = 822.54 × 353.65
  4. Step 4: Simplify right side
    548.36x = 290,891.27
  5. Step 5: Solve for x
    x = 290,891.27/548.36
  6. Step 6: Final answer
    x = 530.48

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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.