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Finding the Fourth Proportional to 398.65, 597.73 and 164.32

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Solution

The fourth proportional to 398.65, 597.73 and 164.32 is: 246.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.65 : 597.73 = 164.32 : x
  2. Step 2: Convert to fraction form
    398.65/597.73 = 164.32/x
  3. Step 3: Cross multiply
    398.65x = 597.73 × 164.32
  4. Step 4: Simplify right side
    398.65x = 98,216.00
  5. Step 5: Solve for x
    x = 98,216.00/398.65
  6. Step 6: Final answer
    x = 246.37

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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.