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Finding the Fourth Proportional to 285.84, 393.44 and 238.68

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Solution

The fourth proportional to 285.84, 393.44 and 238.68 is: 328.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.84 : 393.44 = 238.68 : x
  2. Step 2: Convert to fraction form
    285.84/393.44 = 238.68/x
  3. Step 3: Cross multiply
    285.84x = 393.44 × 238.68
  4. Step 4: Simplify right side
    285.84x = 93,906.05
  5. Step 5: Solve for x
    x = 93,906.05/285.84
  6. Step 6: Final answer
    x = 328.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.