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Finding the Fourth Proportional to 597.40, 896.07 and 164.55

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Solution

The fourth proportional to 597.40, 896.07 and 164.55 is: 246.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.40 : 896.07 = 164.55 : x
  2. Step 2: Convert to fraction form
    597.40/896.07 = 164.55/x
  3. Step 3: Cross multiply
    597.40x = 896.07 × 164.55
  4. Step 4: Simplify right side
    597.40x = 147,448.32
  5. Step 5: Solve for x
    x = 147,448.32/597.40
  6. Step 6: Final answer
    x = 246.82

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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.