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Finding the Fourth Proportional to 896.14, 1,343.70 and 310.86

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Solution

The fourth proportional to 896.14, 1,343.70 and 310.86 is: 466.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.14 : 1,343.70 = 310.86 : x
  2. Step 2: Convert to fraction form
    896.14/1,343.70 = 310.86/x
  3. Step 3: Cross multiply
    896.14x = 1,343.70 × 310.86
  4. Step 4: Simplify right side
    896.14x = 417,702.58
  5. Step 5: Solve for x
    x = 417,702.58/896.14
  6. Step 6: Final answer
    x = 466.11

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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.