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Finding the Fourth Proportional to 654.11, 980.63 and 449.08

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Solution

The fourth proportional to 654.11, 980.63 and 449.08 is: 673.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.11 : 980.63 = 449.08 : x
  2. Step 2: Convert to fraction form
    654.11/980.63 = 449.08/x
  3. Step 3: Cross multiply
    654.11x = 980.63 × 449.08
  4. Step 4: Simplify right side
    654.11x = 440,381.32
  5. Step 5: Solve for x
    x = 440,381.32/654.11
  6. Step 6: Final answer
    x = 673.25

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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.