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Finding the Fourth Proportional to 548.51, 822.56 and 305.10

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Solution

The fourth proportional to 548.51, 822.56 and 305.10 is: 457.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.51 : 822.56 = 305.10 : x
  2. Step 2: Convert to fraction form
    548.51/822.56 = 305.10/x
  3. Step 3: Cross multiply
    548.51x = 822.56 × 305.10
  4. Step 4: Simplify right side
    548.51x = 250,961.53
  5. Step 5: Solve for x
    x = 250,961.53/548.51
  6. Step 6: Final answer
    x = 457.54

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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.