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Finding the Fourth Proportional to 506.65, 697.38 and 375.43

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Solution

The fourth proportional to 506.65, 697.38 and 375.43 is: 516.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.65 : 697.38 = 375.43 : x
  2. Step 2: Convert to fraction form
    506.65/697.38 = 375.43/x
  3. Step 3: Cross multiply
    506.65x = 697.38 × 375.43
  4. Step 4: Simplify right side
    506.65x = 261,817.37
  5. Step 5: Solve for x
    x = 261,817.37/506.65
  6. Step 6: Final answer
    x = 516.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.