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Finding the Fourth Proportional to 453.21, 624.63 and 320.46

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Solution

The fourth proportional to 453.21, 624.63 and 320.46 is: 441.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.21 : 624.63 = 320.46 : x
  2. Step 2: Convert to fraction form
    453.21/624.63 = 320.46/x
  3. Step 3: Cross multiply
    453.21x = 624.63 × 320.46
  4. Step 4: Simplify right side
    453.21x = 200,168.93
  5. Step 5: Solve for x
    x = 200,168.93/453.21
  6. Step 6: Final answer
    x = 441.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.