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Finding the Fourth Proportional to 518.31, 777.48 and 206.04

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Solution

The fourth proportional to 518.31, 777.48 and 206.04 is: 309.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.31 : 777.48 = 206.04 : x
  2. Step 2: Convert to fraction form
    518.31/777.48 = 206.04/x
  3. Step 3: Cross multiply
    518.31x = 777.48 × 206.04
  4. Step 4: Simplify right side
    518.31x = 160,191.46
  5. Step 5: Solve for x
    x = 160,191.46/518.31
  6. Step 6: Final answer
    x = 309.06

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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.