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Finding the Fourth Proportional to 505.06, 757.17 and 261.65

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Solution

The fourth proportional to 505.06, 757.17 and 261.65 is: 392.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.06 : 757.17 = 261.65 : x
  2. Step 2: Convert to fraction form
    505.06/757.17 = 261.65/x
  3. Step 3: Cross multiply
    505.06x = 757.17 × 261.65
  4. Step 4: Simplify right side
    505.06x = 198,115.42
  5. Step 5: Solve for x
    x = 198,115.42/505.06
  6. Step 6: Final answer
    x = 392.26

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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.