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Finding the Fourth Proportional to 431.25, 594.99 and 283.97

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Solution

The fourth proportional to 431.25, 594.99 and 283.97 is: 391.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.25 : 594.99 = 283.97 : x
  2. Step 2: Convert to fraction form
    431.25/594.99 = 283.97/x
  3. Step 3: Cross multiply
    431.25x = 594.99 × 283.97
  4. Step 4: Simplify right side
    431.25x = 168,956.34
  5. Step 5: Solve for x
    x = 168,956.34/431.25
  6. Step 6: Final answer
    x = 391.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.