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Finding the Fourth Proportional to 330.72, 496 and 208.96

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Solution

The fourth proportional to 330.72, 496 and 208.96 is: 313.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.72 : 496 = 208.96 : x
  2. Step 2: Convert to fraction form
    330.72/496 = 208.96/x
  3. Step 3: Cross multiply
    330.72x = 496 × 208.96
  4. Step 4: Simplify right side
    330.72x = 103,644.16
  5. Step 5: Solve for x
    x = 103,644.16/330.72
  6. Step 6: Final answer
    x = 313.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.