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Finding the Fourth Proportional to 514.70, 772.18 and 206.54

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Solution

The fourth proportional to 514.70, 772.18 and 206.54 is: 309.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.70 : 772.18 = 206.54 : x
  2. Step 2: Convert to fraction form
    514.70/772.18 = 206.54/x
  3. Step 3: Cross multiply
    514.70x = 772.18 × 206.54
  4. Step 4: Simplify right side
    514.70x = 159,486.06
  5. Step 5: Solve for x
    x = 159,486.06/514.70
  6. Step 6: Final answer
    x = 309.86

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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.