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Finding the Fourth Proportional to 548.51, 822.89 and 259.88

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Solution

The fourth proportional to 548.51, 822.89 and 259.88 is: 389.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.51 : 822.89 = 259.88 : x
  2. Step 2: Convert to fraction form
    548.51/822.89 = 259.88/x
  3. Step 3: Cross multiply
    548.51x = 822.89 × 259.88
  4. Step 4: Simplify right side
    548.51x = 213,849.19
  5. Step 5: Solve for x
    x = 213,849.19/548.51
  6. Step 6: Final answer
    x = 389.88

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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.