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Finding the Fourth Proportional to 490.84, 677.04 and 325.04

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Solution

The fourth proportional to 490.84, 677.04 and 325.04 is: 448.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.84 : 677.04 = 325.04 : x
  2. Step 2: Convert to fraction form
    490.84/677.04 = 325.04/x
  3. Step 3: Cross multiply
    490.84x = 677.04 × 325.04
  4. Step 4: Simplify right side
    490.84x = 220,065.08
  5. Step 5: Solve for x
    x = 220,065.08/490.84
  6. Step 6: Final answer
    x = 448.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.