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Finding the Fourth Proportional to 506.17, 697.60 and 374.95

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Solution

The fourth proportional to 506.17, 697.60 and 374.95 is: 516.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.17 : 697.60 = 374.95 : x
  2. Step 2: Convert to fraction form
    506.17/697.60 = 374.95/x
  3. Step 3: Cross multiply
    506.17x = 697.60 × 374.95
  4. Step 4: Simplify right side
    506.17x = 261,565.12
  5. Step 5: Solve for x
    x = 261,565.12/506.17
  6. Step 6: Final answer
    x = 516.75

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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.