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Finding the Fourth Proportional to 330.78, 456.75 and 206.64

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Solution

The fourth proportional to 330.78, 456.75 and 206.64 is: 285.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.78 : 456.75 = 206.64 : x
  2. Step 2: Convert to fraction form
    330.78/456.75 = 206.64/x
  3. Step 3: Cross multiply
    330.78x = 456.75 × 206.64
  4. Step 4: Simplify right side
    330.78x = 94,382.82
  5. Step 5: Solve for x
    x = 94,382.82/330.78
  6. Step 6: Final answer
    x = 285.33

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