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Finding the Fourth Proportional to 896.10, 1,344.15 and 384.10

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Solution

The fourth proportional to 896.10, 1,344.15 and 384.10 is: 576.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.10 : 1,344.15 = 384.10 : x
  2. Step 2: Convert to fraction form
    896.10/1,344.15 = 384.10/x
  3. Step 3: Cross multiply
    896.10x = 1,344.15 × 384.10
  4. Step 4: Simplify right side
    896.10x = 516,288.02
  5. Step 5: Solve for x
    x = 516,288.02/896.10
  6. Step 6: Final answer
    x = 576.15

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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.