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Finding the Fourth Proportional to 771.31, 1,156.56 and 332.56

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Solution

The fourth proportional to 771.31, 1,156.56 and 332.56 is: 498.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.31 : 1,156.56 = 332.56 : x
  2. Step 2: Convert to fraction form
    771.31/1,156.56 = 332.56/x
  3. Step 3: Cross multiply
    771.31x = 1,156.56 × 332.56
  4. Step 4: Simplify right side
    771.31x = 384,625.59
  5. Step 5: Solve for x
    x = 384,625.59/771.31
  6. Step 6: Final answer
    x = 498.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.