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Finding the Fourth Proportional to 684.50, 944.64 and 374

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Solution

The fourth proportional to 684.50, 944.64 and 374 is: 516.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.50 : 944.64 = 374 : x
  2. Step 2: Convert to fraction form
    684.50/944.64 = 374/x
  3. Step 3: Cross multiply
    684.50x = 944.64 × 374
  4. Step 4: Simplify right side
    684.50x = 353,295.36
  5. Step 5: Solve for x
    x = 353,295.36/684.50
  6. Step 6: Final answer
    x = 516.14

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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.