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Finding the Fourth Proportional to 665.86, 998.41 and 275.43

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Solution

The fourth proportional to 665.86, 998.41 and 275.43 is: 412.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.86 : 998.41 = 275.43 : x
  2. Step 2: Convert to fraction form
    665.86/998.41 = 275.43/x
  3. Step 3: Cross multiply
    665.86x = 998.41 × 275.43
  4. Step 4: Simplify right side
    665.86x = 274,986.63
  5. Step 5: Solve for x
    x = 274,986.63/665.86
  6. Step 6: Final answer
    x = 412.98

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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.