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Finding the Fourth Proportional to 514.79, 772.45 and 206.73

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Solution

The fourth proportional to 514.79, 772.45 and 206.73 is: 310.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.79 : 772.45 = 206.73 : x
  2. Step 2: Convert to fraction form
    514.79/772.45 = 206.73/x
  3. Step 3: Cross multiply
    514.79x = 772.45 × 206.73
  4. Step 4: Simplify right side
    514.79x = 159,688.59
  5. Step 5: Solve for x
    x = 159,688.59/514.79
  6. Step 6: Final answer
    x = 310.20

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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.