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Finding the Fourth Proportional to 680.05, 1,020.41 and 290.31

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Solution

The fourth proportional to 680.05, 1,020.41 and 290.31 is: 435.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.05 : 1,020.41 = 290.31 : x
  2. Step 2: Convert to fraction form
    680.05/1,020.41 = 290.31/x
  3. Step 3: Cross multiply
    680.05x = 1,020.41 × 290.31
  4. Step 4: Simplify right side
    680.05x = 296,235.23
  5. Step 5: Solve for x
    x = 296,235.23/680.05
  6. Step 6: Final answer
    x = 435.61

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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.