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Finding the Fourth Proportional to 680.02, 1,020.05 and 295.02

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Solution

The fourth proportional to 680.02, 1,020.05 and 295.02 is: 442.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.02 : 1,020.05 = 295.02 : x
  2. Step 2: Convert to fraction form
    680.02/1,020.05 = 295.02/x
  3. Step 3: Cross multiply
    680.02x = 1,020.05 × 295.02
  4. Step 4: Simplify right side
    680.02x = 300,935.15
  5. Step 5: Solve for x
    x = 300,935.15/680.02
  6. Step 6: Final answer
    x = 442.54

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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.