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Finding the Fourth Proportional to 680.20, 1,019.76 and 290.08

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Solution

The fourth proportional to 680.20, 1,019.76 and 290.08 is: 434.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.20 : 1,019.76 = 290.08 : x
  2. Step 2: Convert to fraction form
    680.20/1,019.76 = 290.08/x
  3. Step 3: Cross multiply
    680.20x = 1,019.76 × 290.08
  4. Step 4: Simplify right side
    680.20x = 295,811.98
  5. Step 5: Solve for x
    x = 295,811.98/680.20
  6. Step 6: Final answer
    x = 434.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.