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Finding the Fourth Proportional to 280.88, 419.31 and 278.94

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Solution

The fourth proportional to 280.88, 419.31 and 278.94 is: 416.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.88 : 419.31 = 278.94 : x
  2. Step 2: Convert to fraction form
    280.88/419.31 = 278.94/x
  3. Step 3: Cross multiply
    280.88x = 419.31 × 278.94
  4. Step 4: Simplify right side
    280.88x = 116,962.33
  5. Step 5: Solve for x
    x = 116,962.33/280.88
  6. Step 6: Final answer
    x = 416.42

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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.