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Finding the Fourth Proportional to 597.77, 896.96 and 273.09

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Solution

The fourth proportional to 597.77, 896.96 and 273.09 is: 409.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.77 : 896.96 = 273.09 : x
  2. Step 2: Convert to fraction form
    597.77/896.96 = 273.09/x
  3. Step 3: Cross multiply
    597.77x = 896.96 × 273.09
  4. Step 4: Simplify right side
    597.77x = 244,950.81
  5. Step 5: Solve for x
    x = 244,950.81/597.77
  6. Step 6: Final answer
    x = 409.77

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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.