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Finding the Fourth Proportional to 650.27, 896.69 and 428.94

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Solution

The fourth proportional to 650.27, 896.69 and 428.94 is: 591.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.27 : 896.69 = 428.94 : x
  2. Step 2: Convert to fraction form
    650.27/896.69 = 428.94/x
  3. Step 3: Cross multiply
    650.27x = 896.69 × 428.94
  4. Step 4: Simplify right side
    650.27x = 384,626.21
  5. Step 5: Solve for x
    x = 384,626.21/650.27
  6. Step 6: Final answer
    x = 591.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.