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Finding the Fourth Proportional to 398.06, 596.32 and 192.34

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Solution

The fourth proportional to 398.06, 596.32 and 192.34 is: 288.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.06 : 596.32 = 192.34 : x
  2. Step 2: Convert to fraction form
    398.06/596.32 = 192.34/x
  3. Step 3: Cross multiply
    398.06x = 596.32 × 192.34
  4. Step 4: Simplify right side
    398.06x = 114,696.19
  5. Step 5: Solve for x
    x = 114,696.19/398.06
  6. Step 6: Final answer
    x = 288.14

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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.