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Finding the Fourth Proportional to 506.44, 758.94 and 314.20

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Solution

The fourth proportional to 506.44, 758.94 and 314.20 is: 470.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.44 : 758.94 = 314.20 : x
  2. Step 2: Convert to fraction form
    506.44/758.94 = 314.20/x
  3. Step 3: Cross multiply
    506.44x = 758.94 × 314.20
  4. Step 4: Simplify right side
    506.44x = 238,458.95
  5. Step 5: Solve for x
    x = 238,458.95/506.44
  6. Step 6: Final answer
    x = 470.85

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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.