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Finding the Fourth Proportional to 655.27, 982.56 and 289.89

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Solution

The fourth proportional to 655.27, 982.56 and 289.89 is: 434.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.27 : 982.56 = 289.89 : x
  2. Step 2: Convert to fraction form
    655.27/982.56 = 289.89/x
  3. Step 3: Cross multiply
    655.27x = 982.56 × 289.89
  4. Step 4: Simplify right side
    655.27x = 284,834.32
  5. Step 5: Solve for x
    x = 284,834.32/655.27
  6. Step 6: Final answer
    x = 434.68

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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.