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Finding the Fourth Proportional to 330, 494.70 and 175.86

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Solution

The fourth proportional to 330, 494.70 and 175.86 is: 263.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    330 : 494.70 = 175.86 : x
  2. Step 2: Convert to fraction form
    330/494.70 = 175.86/x
  3. Step 3: Cross multiply
    330x = 494.70 × 175.86
  4. Step 4: Simplify right side
    330x = 86,997.94
  5. Step 5: Solve for x
    x = 86,997.94/330
  6. Step 6: Final answer
    x = 263.63

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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.