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Finding the Fourth Proportional to 650.46, 898.32 and 453.63

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Solution

The fourth proportional to 650.46, 898.32 and 453.63 is: 626.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.46 : 898.32 = 453.63 : x
  2. Step 2: Convert to fraction form
    650.46/898.32 = 453.63/x
  3. Step 3: Cross multiply
    650.46x = 898.32 × 453.63
  4. Step 4: Simplify right side
    650.46x = 407,504.90
  5. Step 5: Solve for x
    x = 407,504.90/650.46
  6. Step 6: Final answer
    x = 626.49

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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.