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Finding the Fourth Proportional to 668.95, 923.16 and 374.31

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Solution

The fourth proportional to 668.95, 923.16 and 374.31 is: 516.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.95 : 923.16 = 374.31 : x
  2. Step 2: Convert to fraction form
    668.95/923.16 = 374.31/x
  3. Step 3: Cross multiply
    668.95x = 923.16 × 374.31
  4. Step 4: Simplify right side
    668.95x = 345,548.02
  5. Step 5: Solve for x
    x = 345,548.02/668.95
  6. Step 6: Final answer
    x = 516.55

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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.