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Finding the Fourth Proportional to 685.75, 946.42 and 391.07

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Solution

The fourth proportional to 685.75, 946.42 and 391.07 is: 539.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.75 : 946.42 = 391.07 : x
  2. Step 2: Convert to fraction form
    685.75/946.42 = 391.07/x
  3. Step 3: Cross multiply
    685.75x = 946.42 × 391.07
  4. Step 4: Simplify right side
    685.75x = 370,116.96
  5. Step 5: Solve for x
    x = 370,116.96/685.75
  6. Step 6: Final answer
    x = 539.72

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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.