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Finding the Fourth Proportional to 280.99, 419.25 and 278.83

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Solution

The fourth proportional to 280.99, 419.25 and 278.83 is: 416.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.99 : 419.25 = 278.83 : x
  2. Step 2: Convert to fraction form
    280.99/419.25 = 278.83/x
  3. Step 3: Cross multiply
    280.99x = 419.25 × 278.83
  4. Step 4: Simplify right side
    280.99x = 116,899.48
  5. Step 5: Solve for x
    x = 116,899.48/280.99
  6. Step 6: Final answer
    x = 416.03

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.