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Finding the Fourth Proportional to 597.44, 896.11 and 164.60

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Solution

The fourth proportional to 597.44, 896.11 and 164.60 is: 246.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.44 : 896.11 = 164.60 : x
  2. Step 2: Convert to fraction form
    597.44/896.11 = 164.60/x
  3. Step 3: Cross multiply
    597.44x = 896.11 × 164.60
  4. Step 4: Simplify right side
    597.44x = 147,499.71
  5. Step 5: Solve for x
    x = 147,499.71/597.44
  6. Step 6: Final answer
    x = 246.89

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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.