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Finding the Fourth Proportional to 588.60, 813.24 and 441.72

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Solution

The fourth proportional to 588.60, 813.24 and 441.72 is: 610.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.60 : 813.24 = 441.72 : x
  2. Step 2: Convert to fraction form
    588.60/813.24 = 441.72/x
  3. Step 3: Cross multiply
    588.60x = 813.24 × 441.72
  4. Step 4: Simplify right side
    588.60x = 359,224.37
  5. Step 5: Solve for x
    x = 359,224.37/588.60
  6. Step 6: Final answer
    x = 610.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.