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Finding the Fourth Proportional to 598.27, 897.69 and 273.61

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Solution

The fourth proportional to 598.27, 897.69 and 273.61 is: 410.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.27 : 897.69 = 273.61 : x
  2. Step 2: Convert to fraction form
    598.27/897.69 = 273.61/x
  3. Step 3: Cross multiply
    598.27x = 897.69 × 273.61
  4. Step 4: Simplify right side
    598.27x = 245,616.96
  5. Step 5: Solve for x
    x = 245,616.96/598.27
  6. Step 6: Final answer
    x = 410.55

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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.