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Finding the Fourth Proportional to 649.09, 973.64 and 283.83

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Solution

The fourth proportional to 649.09, 973.64 and 283.83 is: 425.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.09 : 973.64 = 283.83 : x
  2. Step 2: Convert to fraction form
    649.09/973.64 = 283.83/x
  3. Step 3: Cross multiply
    649.09x = 973.64 × 283.83
  4. Step 4: Simplify right side
    649.09x = 276,348.24
  5. Step 5: Solve for x
    x = 276,348.24/649.09
  6. Step 6: Final answer
    x = 425.75

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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.