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Finding the Fourth Proportional to 280.62, 419.64 and 172.44

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Solution

The fourth proportional to 280.62, 419.64 and 172.44 is: 257.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.62 : 419.64 = 172.44 : x
  2. Step 2: Convert to fraction form
    280.62/419.64 = 172.44/x
  3. Step 3: Cross multiply
    280.62x = 419.64 × 172.44
  4. Step 4: Simplify right side
    280.62x = 72,362.72
  5. Step 5: Solve for x
    x = 72,362.72/280.62
  6. Step 6: Final answer
    x = 257.87

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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.