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Finding the Fourth Proportional to 655.84, 984.12 and 271.36

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Solution

The fourth proportional to 655.84, 984.12 and 271.36 is: 407.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.84 : 984.12 = 271.36 : x
  2. Step 2: Convert to fraction form
    655.84/984.12 = 271.36/x
  3. Step 3: Cross multiply
    655.84x = 984.12 × 271.36
  4. Step 4: Simplify right side
    655.84x = 267,050.80
  5. Step 5: Solve for x
    x = 267,050.80/655.84
  6. Step 6: Final answer
    x = 407.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.