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Finding the Fourth Proportional to 356.41, 491.83 and 281.80

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Solution

The fourth proportional to 356.41, 491.83 and 281.80 is: 388.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.41 : 491.83 = 281.80 : x
  2. Step 2: Convert to fraction form
    356.41/491.83 = 281.80/x
  3. Step 3: Cross multiply
    356.41x = 491.83 × 281.80
  4. Step 4: Simplify right side
    356.41x = 138,597.69
  5. Step 5: Solve for x
    x = 138,597.69/356.41
  6. Step 6: Final answer
    x = 388.87

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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.