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Finding the Fourth Proportional to 505.47, 758.39 and 311.73

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Solution

The fourth proportional to 505.47, 758.39 and 311.73 is: 467.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.47 : 758.39 = 311.73 : x
  2. Step 2: Convert to fraction form
    505.47/758.39 = 311.73/x
  3. Step 3: Cross multiply
    505.47x = 758.39 × 311.73
  4. Step 4: Simplify right side
    505.47x = 236,412.91
  5. Step 5: Solve for x
    x = 236,412.91/505.47
  6. Step 6: Final answer
    x = 467.71

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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.