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Finding the Fourth Proportional to 518.22, 777.32 and 209.99

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Solution

The fourth proportional to 518.22, 777.32 and 209.99 is: 314.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.22 : 777.32 = 209.99 : x
  2. Step 2: Convert to fraction form
    518.22/777.32 = 209.99/x
  3. Step 3: Cross multiply
    518.22x = 777.32 × 209.99
  4. Step 4: Simplify right side
    518.22x = 163,231.70
  5. Step 5: Solve for x
    x = 163,231.70/518.22
  6. Step 6: Final answer
    x = 314.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.