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Finding the Fourth Proportional to 597.71, 896.63 and 273.17

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Solution

The fourth proportional to 597.71, 896.63 and 273.17 is: 409.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.71 : 896.63 = 273.17 : x
  2. Step 2: Convert to fraction form
    597.71/896.63 = 273.17/x
  3. Step 3: Cross multiply
    597.71x = 896.63 × 273.17
  4. Step 4: Simplify right side
    597.71x = 244,926.57
  5. Step 5: Solve for x
    x = 244,926.57/597.71
  6. Step 6: Final answer
    x = 409.78

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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.