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Finding the Fourth Proportional to 597.97, 896.63 and 273.16

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Solution

The fourth proportional to 597.97, 896.63 and 273.16 is: 409.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.97 : 896.63 = 273.16 : x
  2. Step 2: Convert to fraction form
    597.97/896.63 = 273.16/x
  3. Step 3: Cross multiply
    597.97x = 896.63 × 273.16
  4. Step 4: Simplify right side
    597.97x = 244,922.09
  5. Step 5: Solve for x
    x = 244,922.09/597.97
  6. Step 6: Final answer
    x = 409.59

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Why These Related Problems?

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