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Finding the Fourth Proportional to 649.58, 974.37 and 284.28

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Solution

The fourth proportional to 649.58, 974.37 and 284.28 is: 426.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.58 : 974.37 = 284.28 : x
  2. Step 2: Convert to fraction form
    649.58/974.37 = 284.28/x
  3. Step 3: Cross multiply
    649.58x = 974.37 × 284.28
  4. Step 4: Simplify right side
    649.58x = 276,993.90
  5. Step 5: Solve for x
    x = 276,993.90/649.58
  6. Step 6: Final answer
    x = 426.42

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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.