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Finding the Fourth Proportional to 330.34, 456.09 and 206.05

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Solution

The fourth proportional to 330.34, 456.09 and 206.05 is: 284.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.34 : 456.09 = 206.05 : x
  2. Step 2: Convert to fraction form
    330.34/456.09 = 206.05/x
  3. Step 3: Cross multiply
    330.34x = 456.09 × 206.05
  4. Step 4: Simplify right side
    330.34x = 93,977.34
  5. Step 5: Solve for x
    x = 93,977.34/330.34
  6. Step 6: Final answer
    x = 284.49

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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.