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Finding the Fourth Proportional to 323.84, 485.76 and 232.32

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Solution

The fourth proportional to 323.84, 485.76 and 232.32 is: 348.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.84 : 485.76 = 232.32 : x
  2. Step 2: Convert to fraction form
    323.84/485.76 = 232.32/x
  3. Step 3: Cross multiply
    323.84x = 485.76 × 232.32
  4. Step 4: Simplify right side
    323.84x = 112,851.76
  5. Step 5: Solve for x
    x = 112,851.76/323.84
  6. Step 6: Final answer
    x = 348.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.