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Finding the Fourth Proportional to 649.89, 974.43 and 284.85

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Solution

The fourth proportional to 649.89, 974.43 and 284.85 is: 427.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.89 : 974.43 = 284.85 : x
  2. Step 2: Convert to fraction form
    649.89/974.43 = 284.85/x
  3. Step 3: Cross multiply
    649.89x = 974.43 × 284.85
  4. Step 4: Simplify right side
    649.89x = 277,566.39
  5. Step 5: Solve for x
    x = 277,566.39/649.89
  6. Step 6: Final answer
    x = 427.10

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Double scale
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Similar ratio
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1.5x scale

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.