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Finding the Fourth Proportional to 490.27, 677.01 and 456.25

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Solution

The fourth proportional to 490.27, 677.01 and 456.25 is: 630.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.27 : 677.01 = 456.25 : x
  2. Step 2: Convert to fraction form
    490.27/677.01 = 456.25/x
  3. Step 3: Cross multiply
    490.27x = 677.01 × 456.25
  4. Step 4: Simplify right side
    490.27x = 308,885.81
  5. Step 5: Solve for x
    x = 308,885.81/490.27
  6. Step 6: Final answer
    x = 630.03

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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.