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Finding the Fourth Proportional to 685.94, 1,028.30 and 339.05

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Solution

The fourth proportional to 685.94, 1,028.30 and 339.05 is: 508.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.94 : 1,028.30 = 339.05 : x
  2. Step 2: Convert to fraction form
    685.94/1,028.30 = 339.05/x
  3. Step 3: Cross multiply
    685.94x = 1,028.30 × 339.05
  4. Step 4: Simplify right side
    685.94x = 348,645.99
  5. Step 5: Solve for x
    x = 348,645.99/685.94
  6. Step 6: Final answer
    x = 508.28

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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.