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Finding the Fourth Proportional to 283.04, 424.09 and 205.84

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Solution

The fourth proportional to 283.04, 424.09 and 205.84 is: 308.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.04 : 424.09 = 205.84 : x
  2. Step 2: Convert to fraction form
    283.04/424.09 = 205.84/x
  3. Step 3: Cross multiply
    283.04x = 424.09 × 205.84
  4. Step 4: Simplify right side
    283.04x = 87,294.32
  5. Step 5: Solve for x
    x = 87,294.32/283.04
  6. Step 6: Final answer
    x = 308.41

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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.