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Finding the Fourth Proportional to 283.23, 390.83 and 239.49

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Solution

The fourth proportional to 283.23, 390.83 and 239.49 is: 330.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.23 : 390.83 = 239.49 : x
  2. Step 2: Convert to fraction form
    283.23/390.83 = 239.49/x
  3. Step 3: Cross multiply
    283.23x = 390.83 × 239.49
  4. Step 4: Simplify right side
    283.23x = 93,598.68
  5. Step 5: Solve for x
    x = 93,598.68/283.23
  6. Step 6: Final answer
    x = 330.47

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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.