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Finding the Fourth Proportional to 890.80, 1,336.12 and 313.64

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Solution

The fourth proportional to 890.80, 1,336.12 and 313.64 is: 470.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.80 : 1,336.12 = 313.64 : x
  2. Step 2: Convert to fraction form
    890.80/1,336.12 = 313.64/x
  3. Step 3: Cross multiply
    890.80x = 1,336.12 × 313.64
  4. Step 4: Simplify right side
    890.80x = 419,060.68
  5. Step 5: Solve for x
    x = 419,060.68/890.80
  6. Step 6: Final answer
    x = 470.43

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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.