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Finding the Fourth Proportional to 685.16, 1,026.90 and 338.24

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Solution

The fourth proportional to 685.16, 1,026.90 and 338.24 is: 506.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.16 : 1,026.90 = 338.24 : x
  2. Step 2: Convert to fraction form
    685.16/1,026.90 = 338.24/x
  3. Step 3: Cross multiply
    685.16x = 1,026.90 × 338.24
  4. Step 4: Simplify right side
    685.16x = 347,338.66
  5. Step 5: Solve for x
    x = 347,338.66/685.16
  6. Step 6: Final answer
    x = 506.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.