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Finding the Fourth Proportional to 668.50, 923.25 and 459.22

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Solution

The fourth proportional to 668.50, 923.25 and 459.22 is: 634.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.50 : 923.25 = 459.22 : x
  2. Step 2: Convert to fraction form
    668.50/923.25 = 459.22/x
  3. Step 3: Cross multiply
    668.50x = 923.25 × 459.22
  4. Step 4: Simplify right side
    668.50x = 423,974.87
  5. Step 5: Solve for x
    x = 423,974.87/668.50
  6. Step 6: Final answer
    x = 634.22

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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.