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Finding the Fourth Proportional to 548.72, 823.04 and 317.44

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Solution

The fourth proportional to 548.72, 823.04 and 317.44 is: 476.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.72 : 823.04 = 317.44 : x
  2. Step 2: Convert to fraction form
    548.72/823.04 = 317.44/x
  3. Step 3: Cross multiply
    548.72x = 823.04 × 317.44
  4. Step 4: Simplify right side
    548.72x = 261,265.82
  5. Step 5: Solve for x
    x = 261,265.82/548.72
  6. Step 6: Final answer
    x = 476.14

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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.