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Finding the Fourth Proportional to 298.90, 448.96 and 282.56

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Solution

The fourth proportional to 298.90, 448.96 and 282.56 is: 424.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.90 : 448.96 = 282.56 : x
  2. Step 2: Convert to fraction form
    298.90/448.96 = 282.56/x
  3. Step 3: Cross multiply
    298.90x = 448.96 × 282.56
  4. Step 4: Simplify right side
    298.90x = 126,858.14
  5. Step 5: Solve for x
    x = 126,858.14/298.90
  6. Step 6: Final answer
    x = 424.42

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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.