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Finding the Fourth Proportional to 347.23, 518.67 and 345.61

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Solution

The fourth proportional to 347.23, 518.67 and 345.61 is: 516.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.23 : 518.67 = 345.61 : x
  2. Step 2: Convert to fraction form
    347.23/518.67 = 345.61/x
  3. Step 3: Cross multiply
    347.23x = 518.67 × 345.61
  4. Step 4: Simplify right side
    347.23x = 179,253.22
  5. Step 5: Solve for x
    x = 179,253.22/347.23
  6. Step 6: Final answer
    x = 516.25

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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.