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Finding the Fourth Proportional to 453.44, 681.38 and 440.08

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Solution

The fourth proportional to 453.44, 681.38 and 440.08 is: 661.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.44 : 681.38 = 440.08 : x
  2. Step 2: Convert to fraction form
    453.44/681.38 = 440.08/x
  3. Step 3: Cross multiply
    453.44x = 681.38 × 440.08
  4. Step 4: Simplify right side
    453.44x = 299,861.71
  5. Step 5: Solve for x
    x = 299,861.71/453.44
  6. Step 6: Final answer
    x = 661.30

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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.