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Finding the Fourth Proportional to 597.72, 896.64 and 273.24

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Solution

The fourth proportional to 597.72, 896.64 and 273.24 is: 409.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.72 : 896.64 = 273.24 : x
  2. Step 2: Convert to fraction form
    597.72/896.64 = 273.24/x
  3. Step 3: Cross multiply
    597.72x = 896.64 × 273.24
  4. Step 4: Simplify right side
    597.72x = 244,997.91
  5. Step 5: Solve for x
    x = 244,997.91/597.72
  6. Step 6: Final answer
    x = 409.89

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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.