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Finding the Fourth Proportional to 680.58, 1,020.16 and 333.14

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Solution

The fourth proportional to 680.58, 1,020.16 and 333.14 is: 499.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.58 : 1,020.16 = 333.14 : x
  2. Step 2: Convert to fraction form
    680.58/1,020.16 = 333.14/x
  3. Step 3: Cross multiply
    680.58x = 1,020.16 × 333.14
  4. Step 4: Simplify right side
    680.58x = 339,856.10
  5. Step 5: Solve for x
    x = 339,856.10/680.58
  6. Step 6: Final answer
    x = 499.36

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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.