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Finding the Fourth Proportional to 447.04, 670.36 and 173.20

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Solution

The fourth proportional to 447.04, 670.36 and 173.20 is: 259.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.04 : 670.36 = 173.20 : x
  2. Step 2: Convert to fraction form
    447.04/670.36 = 173.20/x
  3. Step 3: Cross multiply
    447.04x = 670.36 × 173.20
  4. Step 4: Simplify right side
    447.04x = 116,106.35
  5. Step 5: Solve for x
    x = 116,106.35/447.04
  6. Step 6: Final answer
    x = 259.72

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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.