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Finding the Fourth Proportional to 597.89, 896.71 and 164.95

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Solution

The fourth proportional to 597.89, 896.71 and 164.95 is: 247.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.89 : 896.71 = 164.95 : x
  2. Step 2: Convert to fraction form
    597.89/896.71 = 164.95/x
  3. Step 3: Cross multiply
    597.89x = 896.71 × 164.95
  4. Step 4: Simplify right side
    597.89x = 147,912.31
  5. Step 5: Solve for x
    x = 147,912.31/597.89
  6. Step 6: Final answer
    x = 247.39

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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.