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Finding the Fourth Proportional to 588.82, 812.55 and 336.75

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Solution

The fourth proportional to 588.82, 812.55 and 336.75 is: 464.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.82 : 812.55 = 336.75 : x
  2. Step 2: Convert to fraction form
    588.82/812.55 = 336.75/x
  3. Step 3: Cross multiply
    588.82x = 812.55 × 336.75
  4. Step 4: Simplify right side
    588.82x = 273,626.21
  5. Step 5: Solve for x
    x = 273,626.21/588.82
  6. Step 6: Final answer
    x = 464.71

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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.