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Finding the Fourth Proportional to 588.60, 884.34 and 345.24

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Solution

The fourth proportional to 588.60, 884.34 and 345.24 is: 518.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.60 : 884.34 = 345.24 : x
  2. Step 2: Convert to fraction form
    588.60/884.34 = 345.24/x
  3. Step 3: Cross multiply
    588.60x = 884.34 × 345.24
  4. Step 4: Simplify right side
    588.60x = 305,309.54
  5. Step 5: Solve for x
    x = 305,309.54/588.60
  6. Step 6: Final answer
    x = 518.70

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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.