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Finding the Fourth Proportional to 488.96, 674.82 and 281.96

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Solution

The fourth proportional to 488.96, 674.82 and 281.96 is: 389.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.96 : 674.82 = 281.96 : x
  2. Step 2: Convert to fraction form
    488.96/674.82 = 281.96/x
  3. Step 3: Cross multiply
    488.96x = 674.82 × 281.96
  4. Step 4: Simplify right side
    488.96x = 190,272.25
  5. Step 5: Solve for x
    x = 190,272.25/488.96
  6. Step 6: Final answer
    x = 389.14

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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.