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Finding the Fourth Proportional to 588.67, 812.90 and 441.04

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Solution

The fourth proportional to 588.67, 812.90 and 441.04 is: 609.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.67 : 812.90 = 441.04 : x
  2. Step 2: Convert to fraction form
    588.67/812.90 = 441.04/x
  3. Step 3: Cross multiply
    588.67x = 812.90 × 441.04
  4. Step 4: Simplify right side
    588.67x = 358,524.55
  5. Step 5: Solve for x
    x = 358,524.55/588.67
  6. Step 6: Final answer
    x = 609.05

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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.