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Finding the Fourth Proportional to 330.93, 456.57 and 204.84

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Solution

The fourth proportional to 330.93, 456.57 and 204.84 is: 282.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.93 : 456.57 = 204.84 : x
  2. Step 2: Convert to fraction form
    330.93/456.57 = 204.84/x
  3. Step 3: Cross multiply
    330.93x = 456.57 × 204.84
  4. Step 4: Simplify right side
    330.93x = 93,523.80
  5. Step 5: Solve for x
    x = 93,523.80/330.93
  6. Step 6: Final answer
    x = 282.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.