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Finding the Fourth Proportional to 548.02, 822.27 and 438.58

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Solution

The fourth proportional to 548.02, 822.27 and 438.58 is: 658.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.02 : 822.27 = 438.58 : x
  2. Step 2: Convert to fraction form
    548.02/822.27 = 438.58/x
  3. Step 3: Cross multiply
    548.02x = 822.27 × 438.58
  4. Step 4: Simplify right side
    548.02x = 360,631.18
  5. Step 5: Solve for x
    x = 360,631.18/548.02
  6. Step 6: Final answer
    x = 658.06

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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.