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Finding the Fourth Proportional to 398.06, 597.32 and 181.65

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Solution

The fourth proportional to 398.06, 597.32 and 181.65 is: 272.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.06 : 597.32 = 181.65 : x
  2. Step 2: Convert to fraction form
    398.06/597.32 = 181.65/x
  3. Step 3: Cross multiply
    398.06x = 597.32 × 181.65
  4. Step 4: Simplify right side
    398.06x = 108,503.63
  5. Step 5: Solve for x
    x = 108,503.63/398.06
  6. Step 6: Final answer
    x = 272.58

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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.