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Finding the Fourth Proportional to 649.53, 974.10 and 284.23

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Solution

The fourth proportional to 649.53, 974.10 and 284.23 is: 426.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.53 : 974.10 = 284.23 : x
  2. Step 2: Convert to fraction form
    649.53/974.10 = 284.23/x
  3. Step 3: Cross multiply
    649.53x = 974.10 × 284.23
  4. Step 4: Simplify right side
    649.53x = 276,868.44
  5. Step 5: Solve for x
    x = 276,868.44/649.53
  6. Step 6: Final answer
    x = 426.26

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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.