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Finding the Fourth Proportional to 281.88, 419.99 and 263.25

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Solution

The fourth proportional to 281.88, 419.99 and 263.25 is: 392.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.88 : 419.99 = 263.25 : x
  2. Step 2: Convert to fraction form
    281.88/419.99 = 263.25/x
  3. Step 3: Cross multiply
    281.88x = 419.99 × 263.25
  4. Step 4: Simplify right side
    281.88x = 110,561.05
  5. Step 5: Solve for x
    x = 110,561.05/281.88
  6. Step 6: Final answer
    x = 392.23

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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.