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Finding the Fourth Proportional to 685.95, 946.16 and 423.63

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Solution

The fourth proportional to 685.95, 946.16 and 423.63 is: 584.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.95 : 946.16 = 423.63 : x
  2. Step 2: Convert to fraction form
    685.95/946.16 = 423.63/x
  3. Step 3: Cross multiply
    685.95x = 946.16 × 423.63
  4. Step 4: Simplify right side
    685.95x = 400,819.64
  5. Step 5: Solve for x
    x = 400,819.64/685.95
  6. Step 6: Final answer
    x = 584.33

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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.