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Finding the Fourth Proportional to 281.86, 419.88 and 277.28

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Solution

The fourth proportional to 281.86, 419.88 and 277.28 is: 413.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.86 : 419.88 = 277.28 : x
  2. Step 2: Convert to fraction form
    281.86/419.88 = 277.28/x
  3. Step 3: Cross multiply
    281.86x = 419.88 × 277.28
  4. Step 4: Simplify right side
    281.86x = 116,424.33
  5. Step 5: Solve for x
    x = 116,424.33/281.86
  6. Step 6: Final answer
    x = 413.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.