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Finding the Fourth Proportional to 683.94, 943.76 and 389.22

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Solution

The fourth proportional to 683.94, 943.76 and 389.22 is: 537.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.94 : 943.76 = 389.22 : x
  2. Step 2: Convert to fraction form
    683.94/943.76 = 389.22/x
  3. Step 3: Cross multiply
    683.94x = 943.76 × 389.22
  4. Step 4: Simplify right side
    683.94x = 367,325.51
  5. Step 5: Solve for x
    x = 367,325.51/683.94
  6. Step 6: Final answer
    x = 537.07

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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.