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Finding the Fourth Proportional to 683.61, 943.44 and 388.86

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Solution

The fourth proportional to 683.61, 943.44 and 388.86 is: 536.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.61 : 943.44 = 388.86 : x
  2. Step 2: Convert to fraction form
    683.61/943.44 = 388.86/x
  3. Step 3: Cross multiply
    683.61x = 943.44 × 388.86
  4. Step 4: Simplify right side
    683.61x = 366,866.08
  5. Step 5: Solve for x
    x = 366,866.08/683.61
  6. Step 6: Final answer
    x = 536.66

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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.