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Finding the Fourth Proportional to 330.33, 456.08 and 206.04

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Solution

The fourth proportional to 330.33, 456.08 and 206.04 is: 284.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.33 : 456.08 = 206.04 : x
  2. Step 2: Convert to fraction form
    330.33/456.08 = 206.04/x
  3. Step 3: Cross multiply
    330.33x = 456.08 × 206.04
  4. Step 4: Simplify right side
    330.33x = 93,970.72
  5. Step 5: Solve for x
    x = 93,970.72/330.33
  6. Step 6: Final answer
    x = 284.48

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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.