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Finding the Fourth Proportional to 447.34, 670.85 and 154.77

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Solution

The fourth proportional to 447.34, 670.85 and 154.77 is: 232.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.34 : 670.85 = 154.77 : x
  2. Step 2: Convert to fraction form
    447.34/670.85 = 154.77/x
  3. Step 3: Cross multiply
    447.34x = 670.85 × 154.77
  4. Step 4: Simplify right side
    447.34x = 103,825.39
  5. Step 5: Solve for x
    x = 103,825.39/447.34
  6. Step 6: Final answer
    x = 232.09

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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.