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Finding the Fourth Proportional to 685.92, 946.59 and 423.84

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Solution

The fourth proportional to 685.92, 946.59 and 423.84 is: 584.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.92 : 946.59 = 423.84 : x
  2. Step 2: Convert to fraction form
    685.92/946.59 = 423.84/x
  3. Step 3: Cross multiply
    685.92x = 946.59 × 423.84
  4. Step 4: Simplify right side
    685.92x = 401,202.71
  5. Step 5: Solve for x
    x = 401,202.71/685.92
  6. Step 6: Final answer
    x = 584.91

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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.