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Finding the Fourth Proportional to 506.80, 759.08 and 313.84

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Solution

The fourth proportional to 506.80, 759.08 and 313.84 is: 470.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.80 : 759.08 = 313.84 : x
  2. Step 2: Convert to fraction form
    506.80/759.08 = 313.84/x
  3. Step 3: Cross multiply
    506.80x = 759.08 × 313.84
  4. Step 4: Simplify right side
    506.80x = 238,229.67
  5. Step 5: Solve for x
    x = 238,229.67/506.80
  6. Step 6: Final answer
    x = 470.07

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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.