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Finding the Fourth Proportional to 685.77, 946.46 and 391.06

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Solution

The fourth proportional to 685.77, 946.46 and 391.06 is: 539.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.77 : 946.46 = 391.06 : x
  2. Step 2: Convert to fraction form
    685.77/946.46 = 391.06/x
  3. Step 3: Cross multiply
    685.77x = 946.46 × 391.06
  4. Step 4: Simplify right side
    685.77x = 370,122.65
  5. Step 5: Solve for x
    x = 370,122.65/685.77
  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.