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Finding the Fourth Proportional to 491.05, 677.65 and 281.22

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Solution

The fourth proportional to 491.05, 677.65 and 281.22 is: 388.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.05 : 677.65 = 281.22 : x
  2. Step 2: Convert to fraction form
    491.05/677.65 = 281.22/x
  3. Step 3: Cross multiply
    491.05x = 677.65 × 281.22
  4. Step 4: Simplify right side
    491.05x = 190,568.73
  5. Step 5: Solve for x
    x = 190,568.73/491.05
  6. Step 6: Final answer
    x = 388.09

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Why These Related Problems?

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