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Finding the Fourth Proportional to 896.33, 1,344.70 and 319.21

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Solution

The fourth proportional to 896.33, 1,344.70 and 319.21 is: 478.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.33 : 1,344.70 = 319.21 : x
  2. Step 2: Convert to fraction form
    896.33/1,344.70 = 319.21/x
  3. Step 3: Cross multiply
    896.33x = 1,344.70 × 319.21
  4. Step 4: Simplify right side
    896.33x = 429,241.69
  5. Step 5: Solve for x
    x = 429,241.69/896.33
  6. Step 6: Final answer
    x = 478.89

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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.