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Finding the Fourth Proportional to 588.90, 812.32 and 389.73

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Solution

The fourth proportional to 588.90, 812.32 and 389.73 is: 537.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.90 : 812.32 = 389.73 : x
  2. Step 2: Convert to fraction form
    588.90/812.32 = 389.73/x
  3. Step 3: Cross multiply
    588.90x = 812.32 × 389.73
  4. Step 4: Simplify right side
    588.90x = 316,585.47
  5. Step 5: Solve for x
    x = 316,585.47/588.90
  6. Step 6: Final answer
    x = 537.59

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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.