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Finding the Fourth Proportional to 518.82, 777.33 and 275.10

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Solution

The fourth proportional to 518.82, 777.33 and 275.10 is: 412.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.82 : 777.33 = 275.10 : x
  2. Step 2: Convert to fraction form
    518.82/777.33 = 275.10/x
  3. Step 3: Cross multiply
    518.82x = 777.33 × 275.10
  4. Step 4: Simplify right side
    518.82x = 213,843.48
  5. Step 5: Solve for x
    x = 213,843.48/518.82
  6. Step 6: Final answer
    x = 412.17

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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.