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Finding the Fourth Proportional to 629.51, 942.64 and 485.33

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Solution

The fourth proportional to 629.51, 942.64 and 485.33 is: 726.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.51 : 942.64 = 485.33 : x
  2. Step 2: Convert to fraction form
    629.51/942.64 = 485.33/x
  3. Step 3: Cross multiply
    629.51x = 942.64 × 485.33
  4. Step 4: Simplify right side
    629.51x = 457,485.54
  5. Step 5: Solve for x
    x = 457,485.54/629.51
  6. Step 6: Final answer
    x = 726.74

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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.