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Finding the Fourth Proportional to 343.80, 514.58 and 220.47

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Solution

The fourth proportional to 343.80, 514.58 and 220.47 is: 329.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.80 : 514.58 = 220.47 : x
  2. Step 2: Convert to fraction form
    343.80/514.58 = 220.47/x
  3. Step 3: Cross multiply
    343.80x = 514.58 × 220.47
  4. Step 4: Simplify right side
    343.80x = 113,448.35
  5. Step 5: Solve for x
    x = 113,448.35/343.80
  6. Step 6: Final answer
    x = 329.98

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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.