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Finding the Fourth Proportional to 588.90, 883.17 and 345.54

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Solution

The fourth proportional to 588.90, 883.17 and 345.54 is: 518.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.90 : 883.17 = 345.54 : x
  2. Step 2: Convert to fraction form
    588.90/883.17 = 345.54/x
  3. Step 3: Cross multiply
    588.90x = 883.17 × 345.54
  4. Step 4: Simplify right side
    588.90x = 305,170.56
  5. Step 5: Solve for x
    x = 305,170.56/588.90
  6. Step 6: Final answer
    x = 518.20

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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.