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Finding the Fourth Proportional to 344.28, 514.11 and 301.08

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Solution

The fourth proportional to 344.28, 514.11 and 301.08 is: 449.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.28 : 514.11 = 301.08 : x
  2. Step 2: Convert to fraction form
    344.28/514.11 = 301.08/x
  3. Step 3: Cross multiply
    344.28x = 514.11 × 301.08
  4. Step 4: Simplify right side
    344.28x = 154,788.24
  5. Step 5: Solve for x
    x = 154,788.24/344.28
  6. Step 6: Final answer
    x = 449.60

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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.