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Finding the Fourth Proportional to 323.84, 483.12 and 297.41

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Solution

The fourth proportional to 323.84, 483.12 and 297.41 is: 443.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.84 : 483.12 = 297.41 : x
  2. Step 2: Convert to fraction form
    323.84/483.12 = 297.41/x
  3. Step 3: Cross multiply
    323.84x = 483.12 × 297.41
  4. Step 4: Simplify right side
    323.84x = 143,682.30
  5. Step 5: Solve for x
    x = 143,682.30/323.84
  6. Step 6: Final answer
    x = 443.69

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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.