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Finding the Fourth Proportional to 943.08, 1,414.58 and 259.08

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Solution

The fourth proportional to 943.08, 1,414.58 and 259.08 is: 388.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.08 : 1,414.58 = 259.08 : x
  2. Step 2: Convert to fraction form
    943.08/1,414.58 = 259.08/x
  3. Step 3: Cross multiply
    943.08x = 1,414.58 × 259.08
  4. Step 4: Simplify right side
    943.08x = 366,489.39
  5. Step 5: Solve for x
    x = 366,489.39/943.08
  6. Step 6: Final answer
    x = 388.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.