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Finding the Fourth Proportional to 650.43, 897.71 and 453.82

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Solution

The fourth proportional to 650.43, 897.71 and 453.82 is: 626.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.43 : 897.71 = 453.82 : x
  2. Step 2: Convert to fraction form
    650.43/897.71 = 453.82/x
  3. Step 3: Cross multiply
    650.43x = 897.71 × 453.82
  4. Step 4: Simplify right side
    650.43x = 407,398.75
  5. Step 5: Solve for x
    x = 407,398.75/650.43
  6. Step 6: Final answer
    x = 626.35

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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.