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Finding the Fourth Proportional to 654.86, 984.56 and 347.33

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Solution

The fourth proportional to 654.86, 984.56 and 347.33 is: 522.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.86 : 984.56 = 347.33 : x
  2. Step 2: Convert to fraction form
    654.86/984.56 = 347.33/x
  3. Step 3: Cross multiply
    654.86x = 984.56 × 347.33
  4. Step 4: Simplify right side
    654.86x = 341,960.57
  5. Step 5: Solve for x
    x = 341,960.57/654.86
  6. Step 6: Final answer
    x = 522.19

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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.