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Finding the Fourth Proportional to 330.29, 455.64 and 205.75

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Solution

The fourth proportional to 330.29, 455.64 and 205.75 is: 283.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.29 : 455.64 = 205.75 : x
  2. Step 2: Convert to fraction form
    330.29/455.64 = 205.75/x
  3. Step 3: Cross multiply
    330.29x = 455.64 × 205.75
  4. Step 4: Simplify right side
    330.29x = 93,747.93
  5. Step 5: Solve for x
    x = 93,747.93/330.29
  6. Step 6: Final answer
    x = 283.84

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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.