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Finding the Fourth Proportional to 281.76, 420.25 and 276.90

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Solution

The fourth proportional to 281.76, 420.25 and 276.90 is: 413.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.76 : 420.25 = 276.90 : x
  2. Step 2: Convert to fraction form
    281.76/420.25 = 276.90/x
  3. Step 3: Cross multiply
    281.76x = 420.25 × 276.90
  4. Step 4: Simplify right side
    281.76x = 116,365.84
  5. Step 5: Solve for x
    x = 116,365.84/281.76
  6. Step 6: Final answer
    x = 413.00

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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.