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Finding the Fourth Proportional to 406.84, 605.90 and 382

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Solution

The fourth proportional to 406.84, 605.90 and 382 is: 568.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.84 : 605.90 = 382 : x
  2. Step 2: Convert to fraction form
    406.84/605.90 = 382/x
  3. Step 3: Cross multiply
    406.84x = 605.90 × 382
  4. Step 4: Simplify right side
    406.84x = 231,453.80
  5. Step 5: Solve for x
    x = 231,453.80/406.84
  6. Step 6: Final answer
    x = 568.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.