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Finding the Fourth Proportional to 685.80, 946.32 and 391.02

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Solution

The fourth proportional to 685.80, 946.32 and 391.02 is: 539.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.80 : 946.32 = 391.02 : x
  2. Step 2: Convert to fraction form
    685.80/946.32 = 391.02/x
  3. Step 3: Cross multiply
    685.80x = 946.32 × 391.02
  4. Step 4: Simplify right side
    685.80x = 370,030.05
  5. Step 5: Solve for x
    x = 370,030.05/685.80
  6. Step 6: Final answer
    x = 539.56

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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.