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Finding the Fourth Proportional to 890.82, 1,336.65 and 343.20

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Solution

The fourth proportional to 890.82, 1,336.65 and 343.20 is: 514.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.82 : 1,336.65 = 343.20 : x
  2. Step 2: Convert to fraction form
    890.82/1,336.65 = 343.20/x
  3. Step 3: Cross multiply
    890.82x = 1,336.65 × 343.20
  4. Step 4: Simplify right side
    890.82x = 458,738.28
  5. Step 5: Solve for x
    x = 458,738.28/890.82
  6. Step 6: Final answer
    x = 514.96

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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.