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Finding the Fourth Proportional to 449.08, 673.65 and 120.02

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Solution

The fourth proportional to 449.08, 673.65 and 120.02 is: 180.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.08 : 673.65 = 120.02 : x
  2. Step 2: Convert to fraction form
    449.08/673.65 = 120.02/x
  3. Step 3: Cross multiply
    449.08x = 673.65 × 120.02
  4. Step 4: Simplify right side
    449.08x = 80,848.10
  5. Step 5: Solve for x
    x = 80,848.10/449.08
  6. Step 6: Final answer
    x = 180.03

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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.