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Finding the Fourth Proportional to 334.20, 499.11 and 291

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Solution

The fourth proportional to 334.20, 499.11 and 291 is: 434.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.20 : 499.11 = 291 : x
  2. Step 2: Convert to fraction form
    334.20/499.11 = 291/x
  3. Step 3: Cross multiply
    334.20x = 499.11 × 291
  4. Step 4: Simplify right side
    334.20x = 145,241.01
  5. Step 5: Solve for x
    x = 145,241.01/334.20
  6. Step 6: Final answer
    x = 434.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.