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Finding the Fourth Proportional to 453.52, 681.64 and 443.92

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Solution

The fourth proportional to 453.52, 681.64 and 443.92 is: 667.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.52 : 681.64 = 443.92 : x
  2. Step 2: Convert to fraction form
    453.52/681.64 = 443.92/x
  3. Step 3: Cross multiply
    453.52x = 681.64 × 443.92
  4. Step 4: Simplify right side
    453.52x = 302,593.63
  5. Step 5: Solve for x
    x = 302,593.63/453.52
  6. Step 6: Final answer
    x = 667.21

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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.