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Finding the Fourth Proportional to 506.53, 759.84 and 313.75

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Solution

The fourth proportional to 506.53, 759.84 and 313.75 is: 470.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.53 : 759.84 = 313.75 : x
  2. Step 2: Convert to fraction form
    506.53/759.84 = 313.75/x
  3. Step 3: Cross multiply
    506.53x = 759.84 × 313.75
  4. Step 4: Simplify right side
    506.53x = 238,399.80
  5. Step 5: Solve for x
    x = 238,399.80/506.53
  6. Step 6: Final answer
    x = 470.65

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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.