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Finding the Fourth Proportional to 325.11, 484.26 and 297.84

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Solution

The fourth proportional to 325.11, 484.26 and 297.84 is: 443.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.11 : 484.26 = 297.84 : x
  2. Step 2: Convert to fraction form
    325.11/484.26 = 297.84/x
  3. Step 3: Cross multiply
    325.11x = 484.26 × 297.84
  4. Step 4: Simplify right side
    325.11x = 144,232.00
  5. Step 5: Solve for x
    x = 144,232.00/325.11
  6. Step 6: Final answer
    x = 443.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.