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Finding the Fourth Proportional to 516.02, 774.23 and 208.04

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Solution

The fourth proportional to 516.02, 774.23 and 208.04 is: 312.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.02 : 774.23 = 208.04 : x
  2. Step 2: Convert to fraction form
    516.02/774.23 = 208.04/x
  3. Step 3: Cross multiply
    516.02x = 774.23 × 208.04
  4. Step 4: Simplify right side
    516.02x = 161,065.90
  5. Step 5: Solve for x
    x = 161,065.90/516.02
  6. Step 6: Final answer
    x = 312.13

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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.