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Finding the Fourth Proportional to 654.14, 980.87 and 345.21

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Solution

The fourth proportional to 654.14, 980.87 and 345.21 is: 517.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.14 : 980.87 = 345.21 : x
  2. Step 2: Convert to fraction form
    654.14/980.87 = 345.21/x
  3. Step 3: Cross multiply
    654.14x = 980.87 × 345.21
  4. Step 4: Simplify right side
    654.14x = 338,604.41
  5. Step 5: Solve for x
    x = 338,604.41/654.14
  6. Step 6: Final answer
    x = 517.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.