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Finding the Fourth Proportional to 344.69, 515.70 and 229.40

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Solution

The fourth proportional to 344.69, 515.70 and 229.40 is: 343.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.69 : 515.70 = 229.40 : x
  2. Step 2: Convert to fraction form
    344.69/515.70 = 229.40/x
  3. Step 3: Cross multiply
    344.69x = 515.70 × 229.40
  4. Step 4: Simplify right side
    344.69x = 118,301.58
  5. Step 5: Solve for x
    x = 118,301.58/344.69
  6. Step 6: Final answer
    x = 343.21

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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.