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Finding the Fourth Proportional to 283.47, 425.38 and 209.22

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Solution

The fourth proportional to 283.47, 425.38 and 209.22 is: 313.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.47 : 425.38 = 209.22 : x
  2. Step 2: Convert to fraction form
    283.47/425.38 = 209.22/x
  3. Step 3: Cross multiply
    283.47x = 425.38 × 209.22
  4. Step 4: Simplify right side
    283.47x = 88,998.00
  5. Step 5: Solve for x
    x = 88,998.00/283.47
  6. Step 6: Final answer
    x = 313.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.