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Finding the Fourth Proportional to 505.89, 757.77 and 232.21

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Solution

The fourth proportional to 505.89, 757.77 and 232.21 is: 347.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.89 : 757.77 = 232.21 : x
  2. Step 2: Convert to fraction form
    505.89/757.77 = 232.21/x
  3. Step 3: Cross multiply
    505.89x = 757.77 × 232.21
  4. Step 4: Simplify right side
    505.89x = 175,959.88
  5. Step 5: Solve for x
    x = 175,959.88/505.89
  6. Step 6: Final answer
    x = 347.82

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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.