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Finding the Fourth Proportional to 283.56, 390.81 and 239.22

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Solution

The fourth proportional to 283.56, 390.81 and 239.22 is: 329.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.56 : 390.81 = 239.22 : x
  2. Step 2: Convert to fraction form
    283.56/390.81 = 239.22/x
  3. Step 3: Cross multiply
    283.56x = 390.81 × 239.22
  4. Step 4: Simplify right side
    283.56x = 93,489.57
  5. Step 5: Solve for x
    x = 93,489.57/283.56
  6. Step 6: Final answer
    x = 329.70

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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.