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Finding the Fourth Proportional to 655.97, 905.14 and 390.41

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Solution

The fourth proportional to 655.97, 905.14 and 390.41 is: 538.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.97 : 905.14 = 390.41 : x
  2. Step 2: Convert to fraction form
    655.97/905.14 = 390.41/x
  3. Step 3: Cross multiply
    655.97x = 905.14 × 390.41
  4. Step 4: Simplify right side
    655.97x = 353,376.99
  5. Step 5: Solve for x
    x = 353,376.99/655.97
  6. Step 6: Final answer
    x = 538.71

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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.