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Finding the Fourth Proportional to 685.39, 945.84 and 374.89

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Solution

The fourth proportional to 685.39, 945.84 and 374.89 is: 517.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.39 : 945.84 = 374.89 : x
  2. Step 2: Convert to fraction form
    685.39/945.84 = 374.89/x
  3. Step 3: Cross multiply
    685.39x = 945.84 × 374.89
  4. Step 4: Simplify right side
    685.39x = 354,585.96
  5. Step 5: Solve for x
    x = 354,585.96/685.39
  6. Step 6: Final answer
    x = 517.35

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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.