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Finding the Fourth Proportional to 597.35, 896.04 and 164.51

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Solution

The fourth proportional to 597.35, 896.04 and 164.51 is: 246.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.35 : 896.04 = 164.51 : x
  2. Step 2: Convert to fraction form
    597.35/896.04 = 164.51/x
  3. Step 3: Cross multiply
    597.35x = 896.04 × 164.51
  4. Step 4: Simplify right side
    597.35x = 147,407.54
  5. Step 5: Solve for x
    x = 147,407.54/597.35
  6. Step 6: Final answer
    x = 246.77

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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.