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Finding the Fourth Proportional to 280.96, 419.42 and 244.50

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Solution

The fourth proportional to 280.96, 419.42 and 244.50 is: 364.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.96 : 419.42 = 244.50 : x
  2. Step 2: Convert to fraction form
    280.96/419.42 = 244.50/x
  3. Step 3: Cross multiply
    280.96x = 419.42 × 244.50
  4. Step 4: Simplify right side
    280.96x = 102,548.19
  5. Step 5: Solve for x
    x = 102,548.19/280.96
  6. Step 6: Final answer
    x = 364.99

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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.