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Finding the Fourth Proportional to 537.21, 804.20 and 476.73

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Solution

The fourth proportional to 537.21, 804.20 and 476.73 is: 713.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.21 : 804.20 = 476.73 : x
  2. Step 2: Convert to fraction form
    537.21/804.20 = 476.73/x
  3. Step 3: Cross multiply
    537.21x = 804.20 × 476.73
  4. Step 4: Simplify right side
    537.21x = 383,383.88
  5. Step 5: Solve for x
    x = 383,383.88/537.21
  6. Step 6: Final answer
    x = 713.66

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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.