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Finding the Fourth Proportional to 280.78, 420.42 and 219.62

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Solution

The fourth proportional to 280.78, 420.42 and 219.62 is: 328.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.78 : 420.42 = 219.62 : x
  2. Step 2: Convert to fraction form
    280.78/420.42 = 219.62/x
  3. Step 3: Cross multiply
    280.78x = 420.42 × 219.62
  4. Step 4: Simplify right side
    280.78x = 92,332.64
  5. Step 5: Solve for x
    x = 92,332.64/280.78
  6. Step 6: Final answer
    x = 328.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.