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Finding the Fourth Proportional to 453.92, 630.68 and 449.10

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Solution

The fourth proportional to 453.92, 630.68 and 449.10 is: 623.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.92 : 630.68 = 449.10 : x
  2. Step 2: Convert to fraction form
    453.92/630.68 = 449.10/x
  3. Step 3: Cross multiply
    453.92x = 630.68 × 449.10
  4. Step 4: Simplify right side
    453.92x = 283,236.14
  5. Step 5: Solve for x
    x = 283,236.14/453.92
  6. Step 6: Final answer
    x = 623.98

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.