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Finding the Fourth Proportional to 624.43, 935.83 and 451.68

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Solution

The fourth proportional to 624.43, 935.83 and 451.68 is: 676.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.43 : 935.83 = 451.68 : x
  2. Step 2: Convert to fraction form
    624.43/935.83 = 451.68/x
  3. Step 3: Cross multiply
    624.43x = 935.83 × 451.68
  4. Step 4: Simplify right side
    624.43x = 422,695.69
  5. Step 5: Solve for x
    x = 422,695.69/624.43
  6. Step 6: Final answer
    x = 676.93

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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.