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Finding the Fourth Proportional to 996.49, 1,494.57 and 380.21

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Solution

The fourth proportional to 996.49, 1,494.57 and 380.21 is: 570.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.49 : 1,494.57 = 380.21 : x
  2. Step 2: Convert to fraction form
    996.49/1,494.57 = 380.21/x
  3. Step 3: Cross multiply
    996.49x = 1,494.57 × 380.21
  4. Step 4: Simplify right side
    996.49x = 568,250.46
  5. Step 5: Solve for x
    x = 568,250.46/996.49
  6. Step 6: Final answer
    x = 570.25

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Half scale
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Double scale
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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.