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Finding the Fourth Proportional to 684.88, 945.14 and 374.36

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Solution

The fourth proportional to 684.88, 945.14 and 374.36 is: 516.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.88 : 945.14 = 374.36 : x
  2. Step 2: Convert to fraction form
    684.88/945.14 = 374.36/x
  3. Step 3: Cross multiply
    684.88x = 945.14 × 374.36
  4. Step 4: Simplify right side
    684.88x = 353,822.61
  5. Step 5: Solve for x
    x = 353,822.61/684.88
  6. Step 6: Final answer
    x = 516.62

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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.