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Finding the Fourth Proportional to 506.44, 758.89 and 301.11

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Solution

The fourth proportional to 506.44, 758.89 and 301.11 is: 451.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.44 : 758.89 = 301.11 : x
  2. Step 2: Convert to fraction form
    506.44/758.89 = 301.11/x
  3. Step 3: Cross multiply
    506.44x = 758.89 × 301.11
  4. Step 4: Simplify right side
    506.44x = 228,509.37
  5. Step 5: Solve for x
    x = 228,509.37/506.44
  6. Step 6: Final answer
    x = 451.21

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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.