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Finding the Fourth Proportional to 506.04, 697.77 and 374.82

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Solution

The fourth proportional to 506.04, 697.77 and 374.82 is: 516.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.04 : 697.77 = 374.82 : x
  2. Step 2: Convert to fraction form
    506.04/697.77 = 374.82/x
  3. Step 3: Cross multiply
    506.04x = 697.77 × 374.82
  4. Step 4: Simplify right side
    506.04x = 261,538.15
  5. Step 5: Solve for x
    x = 261,538.15/506.04
  6. Step 6: Final answer
    x = 516.83

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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.