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Finding the Fourth Proportional to 683.84, 943.64 and 389.14

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Solution

The fourth proportional to 683.84, 943.64 and 389.14 is: 536.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.84 : 943.64 = 389.14 : x
  2. Step 2: Convert to fraction form
    683.84/943.64 = 389.14/x
  3. Step 3: Cross multiply
    683.84x = 943.64 × 389.14
  4. Step 4: Simplify right side
    683.84x = 367,208.07
  5. Step 5: Solve for x
    x = 367,208.07/683.84
  6. Step 6: Final answer
    x = 536.98

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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.