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Finding the Fourth Proportional to 506.86, 759.93 and 324.34

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Solution

The fourth proportional to 506.86, 759.93 and 324.34 is: 486.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.86 : 759.93 = 324.34 : x
  2. Step 2: Convert to fraction form
    506.86/759.93 = 324.34/x
  3. Step 3: Cross multiply
    506.86x = 759.93 × 324.34
  4. Step 4: Simplify right side
    506.86x = 246,475.70
  5. Step 5: Solve for x
    x = 246,475.70/506.86
  6. Step 6: Final answer
    x = 486.28

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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.