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Finding the Fourth Proportional to 447.61, 671.75 and 173.55

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Solution

The fourth proportional to 447.61, 671.75 and 173.55 is: 260.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.61 : 671.75 = 173.55 : x
  2. Step 2: Convert to fraction form
    447.61/671.75 = 173.55/x
  3. Step 3: Cross multiply
    447.61x = 671.75 × 173.55
  4. Step 4: Simplify right side
    447.61x = 116,581.71
  5. Step 5: Solve for x
    x = 116,581.71/447.61
  6. Step 6: Final answer
    x = 260.45

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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.