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Finding the Fourth Proportional to 323.84, 483.76 and 276

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Solution

The fourth proportional to 323.84, 483.76 and 276 is: 412.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.84 : 483.76 = 276 : x
  2. Step 2: Convert to fraction form
    323.84/483.76 = 276/x
  3. Step 3: Cross multiply
    323.84x = 483.76 × 276
  4. Step 4: Simplify right side
    323.84x = 133,517.76
  5. Step 5: Solve for x
    x = 133,517.76/323.84
  6. Step 6: Final answer
    x = 412.30

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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.