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Finding the Fourth Proportional to 518.44, 772.97 and 477.16

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Solution

The fourth proportional to 518.44, 772.97 and 477.16 is: 711.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.44 : 772.97 = 477.16 : x
  2. Step 2: Convert to fraction form
    518.44/772.97 = 477.16/x
  3. Step 3: Cross multiply
    518.44x = 772.97 × 477.16
  4. Step 4: Simplify right side
    518.44x = 368,830.37
  5. Step 5: Solve for x
    x = 368,830.37/518.44
  6. Step 6: Final answer
    x = 711.42

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.