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Finding the Fourth Proportional to 283.80, 390.90 and 234.79

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Solution

The fourth proportional to 283.80, 390.90 and 234.79 is: 323.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.80 : 390.90 = 234.79 : x
  2. Step 2: Convert to fraction form
    283.80/390.90 = 234.79/x
  3. Step 3: Cross multiply
    283.80x = 390.90 × 234.79
  4. Step 4: Simplify right side
    283.80x = 91,779.41
  5. Step 5: Solve for x
    x = 91,779.41/283.80
  6. Step 6: Final answer
    x = 323.39

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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.