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Finding the Fourth Proportional to 598.46, 897.78 and 273.85

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Solution

The fourth proportional to 598.46, 897.78 and 273.85 is: 410.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.46 : 897.78 = 273.85 : x
  2. Step 2: Convert to fraction form
    598.46/897.78 = 273.85/x
  3. Step 3: Cross multiply
    598.46x = 897.78 × 273.85
  4. Step 4: Simplify right side
    598.46x = 245,855.84
  5. Step 5: Solve for x
    x = 245,855.84/598.46
  6. Step 6: Final answer
    x = 410.82

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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.