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Finding the Fourth Proportional to 345.11, 516.59 and 257.93

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Solution

The fourth proportional to 345.11, 516.59 and 257.93 is: 386.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.11 : 516.59 = 257.93 : x
  2. Step 2: Convert to fraction form
    345.11/516.59 = 257.93/x
  3. Step 3: Cross multiply
    345.11x = 516.59 × 257.93
  4. Step 4: Simplify right side
    345.11x = 133,240.19
  5. Step 5: Solve for x
    x = 133,240.19/345.11
  6. Step 6: Final answer
    x = 386.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.