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Finding the Fourth Proportional to 283.39, 425.44 and 282.07

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Solution

The fourth proportional to 283.39, 425.44 and 282.07 is: 423.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.39 : 425.44 = 282.07 : x
  2. Step 2: Convert to fraction form
    283.39/425.44 = 282.07/x
  3. Step 3: Cross multiply
    283.39x = 425.44 × 282.07
  4. Step 4: Simplify right side
    283.39x = 120,003.86
  5. Step 5: Solve for x
    x = 120,003.86/283.39
  6. Step 6: Final answer
    x = 423.46

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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.