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Finding the Fourth Proportional to 649.90, 974.61 and 284.50

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Solution

The fourth proportional to 649.90, 974.61 and 284.50 is: 426.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.90 : 974.61 = 284.50 : x
  2. Step 2: Convert to fraction form
    649.90/974.61 = 284.50/x
  3. Step 3: Cross multiply
    649.90x = 974.61 × 284.50
  4. Step 4: Simplify right side
    649.90x = 277,276.55
  5. Step 5: Solve for x
    x = 277,276.55/649.90
  6. Step 6: Final answer
    x = 426.64

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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.