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Finding the Fourth Proportional to 344.19, 515.69 and 289.69

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Solution

The fourth proportional to 344.19, 515.69 and 289.69 is: 434.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.19 : 515.69 = 289.69 : x
  2. Step 2: Convert to fraction form
    344.19/515.69 = 289.69/x
  3. Step 3: Cross multiply
    344.19x = 515.69 × 289.69
  4. Step 4: Simplify right side
    344.19x = 149,390.24
  5. Step 5: Solve for x
    x = 149,390.24/344.19
  6. Step 6: Final answer
    x = 434.03

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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.