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Finding the Fourth Proportional to 896.50, 1,344.12 and 348.64

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Solution

The fourth proportional to 896.50, 1,344.12 and 348.64 is: 522.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.50 : 1,344.12 = 348.64 : x
  2. Step 2: Convert to fraction form
    896.50/1,344.12 = 348.64/x
  3. Step 3: Cross multiply
    896.50x = 1,344.12 × 348.64
  4. Step 4: Simplify right side
    896.50x = 468,614.00
  5. Step 5: Solve for x
    x = 468,614.00/896.50
  6. Step 6: Final answer
    x = 522.71

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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.