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Finding the Fourth Proportional to 685.86, 946.26 and 423.84

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Solution

The fourth proportional to 685.86, 946.26 and 423.84 is: 584.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.86 : 946.26 = 423.84 : x
  2. Step 2: Convert to fraction form
    685.86/946.26 = 423.84/x
  3. Step 3: Cross multiply
    685.86x = 946.26 × 423.84
  4. Step 4: Simplify right side
    685.86x = 401,062.84
  5. Step 5: Solve for x
    x = 401,062.84/685.86
  6. Step 6: Final answer
    x = 584.76

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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.