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Finding the Fourth Proportional to 896.20, 1,344.08 and 319.08

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Solution

The fourth proportional to 896.20, 1,344.08 and 319.08 is: 478.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.20 : 1,344.08 = 319.08 : x
  2. Step 2: Convert to fraction form
    896.20/1,344.08 = 319.08/x
  3. Step 3: Cross multiply
    896.20x = 1,344.08 × 319.08
  4. Step 4: Simplify right side
    896.20x = 428,869.05
  5. Step 5: Solve for x
    x = 428,869.05/896.20
  6. Step 6: Final answer
    x = 478.54

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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.