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Finding the Fourth Proportional to 597.56, 896.32 and 272.92

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Solution

The fourth proportional to 597.56, 896.32 and 272.92 is: 409.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.56 : 896.32 = 272.92 : x
  2. Step 2: Convert to fraction form
    597.56/896.32 = 272.92/x
  3. Step 3: Cross multiply
    597.56x = 896.32 × 272.92
  4. Step 4: Simplify right side
    597.56x = 244,623.65
  5. Step 5: Solve for x
    x = 244,623.65/597.56
  6. Step 6: Final answer
    x = 409.37

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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.