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Finding the Fourth Proportional to 447.66, 670.95 and 173.34

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Solution

The fourth proportional to 447.66, 670.95 and 173.34 is: 259.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.66 : 670.95 = 173.34 : x
  2. Step 2: Convert to fraction form
    447.66/670.95 = 173.34/x
  3. Step 3: Cross multiply
    447.66x = 670.95 × 173.34
  4. Step 4: Simplify right side
    447.66x = 116,302.47
  5. Step 5: Solve for x
    x = 116,302.47/447.66
  6. Step 6: Final answer
    x = 259.80

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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.