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Finding the Fourth Proportional to 649.44, 974.88 and 456.48

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Solution

The fourth proportional to 649.44, 974.88 and 456.48 is: 685.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.44 : 974.88 = 456.48 : x
  2. Step 2: Convert to fraction form
    649.44/974.88 = 456.48/x
  3. Step 3: Cross multiply
    649.44x = 974.88 × 456.48
  4. Step 4: Simplify right side
    649.44x = 445,013.22
  5. Step 5: Solve for x
    x = 445,013.22/649.44
  6. Step 6: Final answer
    x = 685.23

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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.