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Finding the Fourth Proportional to 588.67, 812.43 and 378.83

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Solution

The fourth proportional to 588.67, 812.43 and 378.83 is: 522.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.67 : 812.43 = 378.83 : x
  2. Step 2: Convert to fraction form
    588.67/812.43 = 378.83/x
  3. Step 3: Cross multiply
    588.67x = 812.43 × 378.83
  4. Step 4: Simplify right side
    588.67x = 307,770.32
  5. Step 5: Solve for x
    x = 307,770.32/588.67
  6. Step 6: Final answer
    x = 522.83

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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.