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Finding the Fourth Proportional to 491.19, 677.81 and 281.42

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Solution

The fourth proportional to 491.19, 677.81 and 281.42 is: 388.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.19 : 677.81 = 281.42 : x
  2. Step 2: Convert to fraction form
    491.19/677.81 = 281.42/x
  3. Step 3: Cross multiply
    491.19x = 677.81 × 281.42
  4. Step 4: Simplify right side
    491.19x = 190,744.49
  5. Step 5: Solve for x
    x = 190,744.49/491.19
  6. Step 6: Final answer
    x = 388.33

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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.