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Finding the Fourth Proportional to 649.44, 974.16 and 283.95

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Solution

The fourth proportional to 649.44, 974.16 and 283.95 is: 425.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.44 : 974.16 = 283.95 : x
  2. Step 2: Convert to fraction form
    649.44/974.16 = 283.95/x
  3. Step 3: Cross multiply
    649.44x = 974.16 × 283.95
  4. Step 4: Simplify right side
    649.44x = 276,612.73
  5. Step 5: Solve for x
    x = 276,612.73/649.44
  6. Step 6: Final answer
    x = 425.93

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Double scale
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Similar ratio
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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.