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Finding the Fourth Proportional to 537.21, 804.76 and 305.41

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Solution

The fourth proportional to 537.21, 804.76 and 305.41 is: 457.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.21 : 804.76 = 305.41 : x
  2. Step 2: Convert to fraction form
    537.21/804.76 = 305.41/x
  3. Step 3: Cross multiply
    537.21x = 804.76 × 305.41
  4. Step 4: Simplify right side
    537.21x = 245,777.73
  5. Step 5: Solve for x
    x = 245,777.73/537.21
  6. Step 6: Final answer
    x = 457.51

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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.