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Finding the Fourth Proportional to 505.18, 757.96 and 261.55

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Solution

The fourth proportional to 505.18, 757.96 and 261.55 is: 392.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.18 : 757.96 = 261.55 : x
  2. Step 2: Convert to fraction form
    505.18/757.96 = 261.55/x
  3. Step 3: Cross multiply
    505.18x = 757.96 × 261.55
  4. Step 4: Simplify right side
    505.18x = 198,244.44
  5. Step 5: Solve for x
    x = 198,244.44/505.18
  6. Step 6: Final answer
    x = 392.42

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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.