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Finding the Fourth Proportional to 343.10, 514.74 and 330.74

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Solution

The fourth proportional to 343.10, 514.74 and 330.74 is: 496.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.10 : 514.74 = 330.74 : x
  2. Step 2: Convert to fraction form
    343.10/514.74 = 330.74/x
  3. Step 3: Cross multiply
    343.10x = 514.74 × 330.74
  4. Step 4: Simplify right side
    343.10x = 170,245.11
  5. Step 5: Solve for x
    x = 170,245.11/343.10
  6. Step 6: Final answer
    x = 496.20

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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.