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Finding the Fourth Proportional to 655.84, 905.12 and 376.16

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Solution

The fourth proportional to 655.84, 905.12 and 376.16 is: 519.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.84 : 905.12 = 376.16 : x
  2. Step 2: Convert to fraction form
    655.84/905.12 = 376.16/x
  3. Step 3: Cross multiply
    655.84x = 905.12 × 376.16
  4. Step 4: Simplify right side
    655.84x = 340,469.94
  5. Step 5: Solve for x
    x = 340,469.94/655.84
  6. Step 6: Final answer
    x = 519.14

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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.