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Finding the Fourth Proportional to 531.37, 796.89 and 271.67

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Solution

The fourth proportional to 531.37, 796.89 and 271.67 is: 407.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.37 : 796.89 = 271.67 : x
  2. Step 2: Convert to fraction form
    531.37/796.89 = 271.67/x
  3. Step 3: Cross multiply
    531.37x = 796.89 × 271.67
  4. Step 4: Simplify right side
    531.37x = 216,487.73
  5. Step 5: Solve for x
    x = 216,487.73/531.37
  6. Step 6: Final answer
    x = 407.41

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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.