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Finding the Fourth Proportional to 518.67, 777.76 and 210.27

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Solution

The fourth proportional to 518.67, 777.76 and 210.27 is: 315.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.67 : 777.76 = 210.27 : x
  2. Step 2: Convert to fraction form
    518.67/777.76 = 210.27/x
  3. Step 3: Cross multiply
    518.67x = 777.76 × 210.27
  4. Step 4: Simplify right side
    518.67x = 163,539.60
  5. Step 5: Solve for x
    x = 163,539.60/518.67
  6. Step 6: Final answer
    x = 315.31

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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.