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Finding the Fourth Proportional to 345.56, 517.84 and 262.94

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Solution

The fourth proportional to 345.56, 517.84 and 262.94 is: 394.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.56 : 517.84 = 262.94 : x
  2. Step 2: Convert to fraction form
    345.56/517.84 = 262.94/x
  3. Step 3: Cross multiply
    345.56x = 517.84 × 262.94
  4. Step 4: Simplify right side
    345.56x = 136,160.85
  5. Step 5: Solve for x
    x = 136,160.85/345.56
  6. Step 6: Final answer
    x = 394.03

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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.