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Finding the Fourth Proportional to 332.46, 499.31 and 305.37

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Solution

The fourth proportional to 332.46, 499.31 and 305.37 is: 458.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.46 : 499.31 = 305.37 : x
  2. Step 2: Convert to fraction form
    332.46/499.31 = 305.37/x
  3. Step 3: Cross multiply
    332.46x = 499.31 × 305.37
  4. Step 4: Simplify right side
    332.46x = 152,474.29
  5. Step 5: Solve for x
    x = 152,474.29/332.46
  6. Step 6: Final answer
    x = 458.62

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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.