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Finding the Fourth Proportional to 490.65, 673.40 and 448.93

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Solution

The fourth proportional to 490.65, 673.40 and 448.93 is: 616.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.65 : 673.40 = 448.93 : x
  2. Step 2: Convert to fraction form
    490.65/673.40 = 448.93/x
  3. Step 3: Cross multiply
    490.65x = 673.40 × 448.93
  4. Step 4: Simplify right side
    490.65x = 302,309.46
  5. Step 5: Solve for x
    x = 302,309.46/490.65
  6. Step 6: Final answer
    x = 616.14

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.