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Finding the Fourth Proportional to 280.07, 419.63 and 254.55

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Solution

The fourth proportional to 280.07, 419.63 and 254.55 is: 381.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.07 : 419.63 = 254.55 : x
  2. Step 2: Convert to fraction form
    280.07/419.63 = 254.55/x
  3. Step 3: Cross multiply
    280.07x = 419.63 × 254.55
  4. Step 4: Simplify right side
    280.07x = 106,815.54
  5. Step 5: Solve for x
    x = 106,815.54/280.07
  6. Step 6: Final answer
    x = 381.40

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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.