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Finding the Fourth Proportional to 654.53, 980.34 and 379.94

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Solution

The fourth proportional to 654.53, 980.34 and 379.94 is: 569.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.53 : 980.34 = 379.94 : x
  2. Step 2: Convert to fraction form
    654.53/980.34 = 379.94/x
  3. Step 3: Cross multiply
    654.53x = 980.34 × 379.94
  4. Step 4: Simplify right side
    654.53x = 372,464.05
  5. Step 5: Solve for x
    x = 372,464.05/654.53
  6. Step 6: Final answer
    x = 569.06

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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.