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Finding the Fourth Proportional to 506.32, 697.56 and 375.16

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Solution

The fourth proportional to 506.32, 697.56 and 375.16 is: 516.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.32 : 697.56 = 375.16 : x
  2. Step 2: Convert to fraction form
    506.32/697.56 = 375.16/x
  3. Step 3: Cross multiply
    506.32x = 697.56 × 375.16
  4. Step 4: Simplify right side
    506.32x = 261,696.61
  5. Step 5: Solve for x
    x = 261,696.61/506.32
  6. Step 6: Final answer
    x = 516.86

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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.