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Finding the Fourth Proportional to 598.07, 896.63 and 273.26

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Solution

The fourth proportional to 598.07, 896.63 and 273.26 is: 409.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.07 : 896.63 = 273.26 : x
  2. Step 2: Convert to fraction form
    598.07/896.63 = 273.26/x
  3. Step 3: Cross multiply
    598.07x = 896.63 × 273.26
  4. Step 4: Simplify right side
    598.07x = 245,007.26
  5. Step 5: Solve for x
    x = 245,007.26/598.07
  6. Step 6: Final answer
    x = 409.67

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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.