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Finding the Fourth Proportional to 327.07, 491.01 and 299.53

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Solution

The fourth proportional to 327.07, 491.01 and 299.53 is: 449.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.07 : 491.01 = 299.53 : x
  2. Step 2: Convert to fraction form
    327.07/491.01 = 299.53/x
  3. Step 3: Cross multiply
    327.07x = 491.01 × 299.53
  4. Step 4: Simplify right side
    327.07x = 147,072.23
  5. Step 5: Solve for x
    x = 147,072.23/327.07
  6. Step 6: Final answer
    x = 449.67

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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.