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Finding the Fourth Proportional to 665.86, 998.82 and 254.86

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Solution

The fourth proportional to 665.86, 998.82 and 254.86 is: 382.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.86 : 998.82 = 254.86 : x
  2. Step 2: Convert to fraction form
    665.86/998.82 = 254.86/x
  3. Step 3: Cross multiply
    665.86x = 998.82 × 254.86
  4. Step 4: Simplify right side
    665.86x = 254,559.27
  5. Step 5: Solve for x
    x = 254,559.27/665.86
  6. Step 6: Final answer
    x = 382.30

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1.5x scale

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.