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Finding the Fourth Proportional to 683.73, 943.59 and 389.00

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Solution

The fourth proportional to 683.73, 943.59 and 389.00 is: 536.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.73 : 943.59 = 389.00 : x
  2. Step 2: Convert to fraction form
    683.73/943.59 = 389.00/x
  3. Step 3: Cross multiply
    683.73x = 943.59 × 389.00
  4. Step 4: Simplify right side
    683.73x = 367,051.79
  5. Step 5: Solve for x
    x = 367,051.79/683.73
  6. Step 6: Final answer
    x = 536.84

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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.