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Finding the Fourth Proportional to 345.38, 516.09 and 262.65

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Solution

The fourth proportional to 345.38, 516.09 and 262.65 is: 392.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.38 : 516.09 = 262.65 : x
  2. Step 2: Convert to fraction form
    345.38/516.09 = 262.65/x
  3. Step 3: Cross multiply
    345.38x = 516.09 × 262.65
  4. Step 4: Simplify right side
    345.38x = 135,551.04
  5. Step 5: Solve for x
    x = 135,551.04/345.38
  6. Step 6: Final answer
    x = 392.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.