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Finding the Fourth Proportional to 514.08, 770.92 and 206.08

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Solution

The fourth proportional to 514.08, 770.92 and 206.08 is: 309.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.08 : 770.92 = 206.08 : x
  2. Step 2: Convert to fraction form
    514.08/770.92 = 206.08/x
  3. Step 3: Cross multiply
    514.08x = 770.92 × 206.08
  4. Step 4: Simplify right side
    514.08x = 158,868.75
  5. Step 5: Solve for x
    x = 158,868.75/514.08
  6. Step 6: Final answer
    x = 309.04

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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.