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Finding the Fourth Proportional to 654.53, 982.01 and 289.33

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Solution

The fourth proportional to 654.53, 982.01 and 289.33 is: 434.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.53 : 982.01 = 289.33 : x
  2. Step 2: Convert to fraction form
    654.53/982.01 = 289.33/x
  3. Step 3: Cross multiply
    654.53x = 982.01 × 289.33
  4. Step 4: Simplify right side
    654.53x = 284,123.22
  5. Step 5: Solve for x
    x = 284,123.22/654.53
  6. Step 6: Final answer
    x = 434.09

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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.