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Finding the Fourth Proportional to 347.36, 518.56 and 289.60

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Solution

The fourth proportional to 347.36, 518.56 and 289.60 is: 432.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.36 : 518.56 = 289.60 : x
  2. Step 2: Convert to fraction form
    347.36/518.56 = 289.60/x
  3. Step 3: Cross multiply
    347.36x = 518.56 × 289.60
  4. Step 4: Simplify right side
    347.36x = 150,174.98
  5. Step 5: Solve for x
    x = 150,174.98/347.36
  6. Step 6: Final answer
    x = 432.33

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.