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Finding the Fourth Proportional to 684.59, 944.73 and 374.09

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Solution

The fourth proportional to 684.59, 944.73 and 374.09 is: 516.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.59 : 944.73 = 374.09 : x
  2. Step 2: Convert to fraction form
    684.59/944.73 = 374.09/x
  3. Step 3: Cross multiply
    684.59x = 944.73 × 374.09
  4. Step 4: Simplify right side
    684.59x = 353,409.32
  5. Step 5: Solve for x
    x = 353,409.32/684.59
  6. Step 6: Final answer
    x = 516.24

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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.