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Finding the Fourth Proportional to 649.25, 974.05 and 341.02

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Solution

The fourth proportional to 649.25, 974.05 and 341.02 is: 511.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.25 : 974.05 = 341.02 : x
  2. Step 2: Convert to fraction form
    649.25/974.05 = 341.02/x
  3. Step 3: Cross multiply
    649.25x = 974.05 × 341.02
  4. Step 4: Simplify right side
    649.25x = 332,170.53
  5. Step 5: Solve for x
    x = 332,170.53/649.25
  6. Step 6: Final answer
    x = 511.62

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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.