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Finding the Fourth Proportional to 505.26, 758.52 and 262.26

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Solution

The fourth proportional to 505.26, 758.52 and 262.26 is: 393.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.26 : 758.52 = 262.26 : x
  2. Step 2: Convert to fraction form
    505.26/758.52 = 262.26/x
  3. Step 3: Cross multiply
    505.26x = 758.52 × 262.26
  4. Step 4: Simplify right side
    505.26x = 198,929.46
  5. Step 5: Solve for x
    x = 198,929.46/505.26
  6. Step 6: Final answer
    x = 393.72

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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.