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Finding the Fourth Proportional to 684.52, 944.60 and 374.02

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Solution

The fourth proportional to 684.52, 944.60 and 374.02 is: 516.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.52 : 944.60 = 374.02 : x
  2. Step 2: Convert to fraction form
    684.52/944.60 = 374.02/x
  3. Step 3: Cross multiply
    684.52x = 944.60 × 374.02
  4. Step 4: Simplify right side
    684.52x = 353,299.29
  5. Step 5: Solve for x
    x = 353,299.29/684.52
  6. Step 6: Final answer
    x = 516.13

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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.