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Finding the Fourth Proportional to 330.07, 493.88 and 271.75

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Solution

The fourth proportional to 330.07, 493.88 and 271.75 is: 406.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.07 : 493.88 = 271.75 : x
  2. Step 2: Convert to fraction form
    330.07/493.88 = 271.75/x
  3. Step 3: Cross multiply
    330.07x = 493.88 × 271.75
  4. Step 4: Simplify right side
    330.07x = 134,211.89
  5. Step 5: Solve for x
    x = 134,211.89/330.07
  6. Step 6: Final answer
    x = 406.62

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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.