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Finding the Fourth Proportional to 654.96, 982.80 and 330.24

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Solution

The fourth proportional to 654.96, 982.80 and 330.24 is: 495.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.96 : 982.80 = 330.24 : x
  2. Step 2: Convert to fraction form
    654.96/982.80 = 330.24/x
  3. Step 3: Cross multiply
    654.96x = 982.80 × 330.24
  4. Step 4: Simplify right side
    654.96x = 324,559.87
  5. Step 5: Solve for x
    x = 324,559.87/654.96
  6. Step 6: Final answer
    x = 495.54

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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.