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Finding the Fourth Proportional to 323.88, 483.22 and 298.06

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Solution

The fourth proportional to 323.88, 483.22 and 298.06 is: 444.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.88 : 483.22 = 298.06 : x
  2. Step 2: Convert to fraction form
    323.88/483.22 = 298.06/x
  3. Step 3: Cross multiply
    323.88x = 483.22 × 298.06
  4. Step 4: Simplify right side
    323.88x = 144,028.55
  5. Step 5: Solve for x
    x = 144,028.55/323.88
  6. Step 6: Final answer
    x = 444.70

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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.