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Finding the Fourth Proportional to 505.63, 758.13 and 231.85

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Solution

The fourth proportional to 505.63, 758.13 and 231.85 is: 347.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.63 : 758.13 = 231.85 : x
  2. Step 2: Convert to fraction form
    505.63/758.13 = 231.85/x
  3. Step 3: Cross multiply
    505.63x = 758.13 × 231.85
  4. Step 4: Simplify right side
    505.63x = 175,772.44
  5. Step 5: Solve for x
    x = 175,772.44/505.63
  6. Step 6: Final answer
    x = 347.63

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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.