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Finding the Fourth Proportional to 478.50, 660.41 and 361.86

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Solution

The fourth proportional to 478.50, 660.41 and 361.86 is: 499.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.50 : 660.41 = 361.86 : x
  2. Step 2: Convert to fraction form
    478.50/660.41 = 361.86/x
  3. Step 3: Cross multiply
    478.50x = 660.41 × 361.86
  4. Step 4: Simplify right side
    478.50x = 238,975.96
  5. Step 5: Solve for x
    x = 238,975.96/478.50
  6. Step 6: Final answer
    x = 499.43

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Why These Related Problems?

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