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Finding the Fourth Proportional to 447.84, 672.02 and 255.60

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Solution

The fourth proportional to 447.84, 672.02 and 255.60 is: 383.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.84 : 672.02 = 255.60 : x
  2. Step 2: Convert to fraction form
    447.84/672.02 = 255.60/x
  3. Step 3: Cross multiply
    447.84x = 672.02 × 255.60
  4. Step 4: Simplify right side
    447.84x = 171,768.31
  5. Step 5: Solve for x
    x = 171,768.31/447.84
  6. Step 6: Final answer
    x = 383.55

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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.