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Finding the Fourth Proportional to 505.43, 758.69 and 361.79

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Solution

The fourth proportional to 505.43, 758.69 and 361.79 is: 543.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.43 : 758.69 = 361.79 : x
  2. Step 2: Convert to fraction form
    505.43/758.69 = 361.79/x
  3. Step 3: Cross multiply
    505.43x = 758.69 × 361.79
  4. Step 4: Simplify right side
    505.43x = 274,480.85
  5. Step 5: Solve for x
    x = 274,480.85/505.43
  6. Step 6: Final answer
    x = 543.07

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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.