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Finding the Fourth Proportional to 283.79, 424.99 and 231.52

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Solution

The fourth proportional to 283.79, 424.99 and 231.52 is: 346.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.79 : 424.99 = 231.52 : x
  2. Step 2: Convert to fraction form
    283.79/424.99 = 231.52/x
  3. Step 3: Cross multiply
    283.79x = 424.99 × 231.52
  4. Step 4: Simplify right side
    283.79x = 98,393.68
  5. Step 5: Solve for x
    x = 98,393.68/283.79
  6. Step 6: Final answer
    x = 346.71

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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.