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Finding the Fourth Proportional to 343.98, 514.84 and 252.64

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Solution

The fourth proportional to 343.98, 514.84 and 252.64 is: 378.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.98 : 514.84 = 252.64 : x
  2. Step 2: Convert to fraction form
    343.98/514.84 = 252.64/x
  3. Step 3: Cross multiply
    343.98x = 514.84 × 252.64
  4. Step 4: Simplify right side
    343.98x = 130,069.18
  5. Step 5: Solve for x
    x = 130,069.18/343.98
  6. Step 6: Final answer
    x = 378.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.