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Finding the Fourth Proportional to 649.40, 974.52 and 284.30

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Solution

The fourth proportional to 649.40, 974.52 and 284.30 is: 426.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.40 : 974.52 = 284.30 : x
  2. Step 2: Convert to fraction form
    649.40/974.52 = 284.30/x
  3. Step 3: Cross multiply
    649.40x = 974.52 × 284.30
  4. Step 4: Simplify right side
    649.40x = 277,056.04
  5. Step 5: Solve for x
    x = 277,056.04/649.40
  6. Step 6: Final answer
    x = 426.63

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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.