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Finding the Fourth Proportional to 589, 812.82 and 382

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Solution

The fourth proportional to 589, 812.82 and 382 is: 527.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    589 : 812.82 = 382 : x
  2. Step 2: Convert to fraction form
    589/812.82 = 382/x
  3. Step 3: Cross multiply
    589x = 812.82 × 382
  4. Step 4: Simplify right side
    589x = 310,497.24
  5. Step 5: Solve for x
    x = 310,497.24/589
  6. Step 6: Final answer
    x = 527.16

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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.