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Finding the Fourth Proportional to 665.02, 996.93 and 280.06

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Solution

The fourth proportional to 665.02, 996.93 and 280.06 is: 419.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.02 : 996.93 = 280.06 : x
  2. Step 2: Convert to fraction form
    665.02/996.93 = 280.06/x
  3. Step 3: Cross multiply
    665.02x = 996.93 × 280.06
  4. Step 4: Simplify right side
    665.02x = 279,200.22
  5. Step 5: Solve for x
    x = 279,200.22/665.02
  6. Step 6: Final answer
    x = 419.84

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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.