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Finding the Fourth Proportional to 685.86, 946.67 and 391.23

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Solution

The fourth proportional to 685.86, 946.67 and 391.23 is: 540.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.86 : 946.67 = 391.23 : x
  2. Step 2: Convert to fraction form
    685.86/946.67 = 391.23/x
  3. Step 3: Cross multiply
    685.86x = 946.67 × 391.23
  4. Step 4: Simplify right side
    685.86x = 370,365.70
  5. Step 5: Solve for x
    x = 370,365.70/685.86
  6. Step 6: Final answer
    x = 540.00

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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.