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Finding the Fourth Proportional to 668.84, 922.96 and 374.05

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Solution

The fourth proportional to 668.84, 922.96 and 374.05 is: 516.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.84 : 922.96 = 374.05 : x
  2. Step 2: Convert to fraction form
    668.84/922.96 = 374.05/x
  3. Step 3: Cross multiply
    668.84x = 922.96 × 374.05
  4. Step 4: Simplify right side
    668.84x = 345,233.19
  5. Step 5: Solve for x
    x = 345,233.19/668.84
  6. Step 6: Final answer
    x = 516.17

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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.