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Finding the Fourth Proportional to 655.84, 984.16 and 290.80

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Solution

The fourth proportional to 655.84, 984.16 and 290.80 is: 436.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.84 : 984.16 = 290.80 : x
  2. Step 2: Convert to fraction form
    655.84/984.16 = 290.80/x
  3. Step 3: Cross multiply
    655.84x = 984.16 × 290.80
  4. Step 4: Simplify right side
    655.84x = 286,193.73
  5. Step 5: Solve for x
    x = 286,193.73/655.84
  6. Step 6: Final answer
    x = 436.38

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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.