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Finding the Fourth Proportional to 330.84, 496.66 and 261.64

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Solution

The fourth proportional to 330.84, 496.66 and 261.64 is: 392.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.84 : 496.66 = 261.64 : x
  2. Step 2: Convert to fraction form
    330.84/496.66 = 261.64/x
  3. Step 3: Cross multiply
    330.84x = 496.66 × 261.64
  4. Step 4: Simplify right side
    330.84x = 129,946.12
  5. Step 5: Solve for x
    x = 129,946.12/330.84
  6. Step 6: Final answer
    x = 392.78

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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.