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Finding the Fourth Proportional to 655.90, 984.08 and 396.07

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Solution

The fourth proportional to 655.90, 984.08 and 396.07 is: 594.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.90 : 984.08 = 396.07 : x
  2. Step 2: Convert to fraction form
    655.90/984.08 = 396.07/x
  3. Step 3: Cross multiply
    655.90x = 984.08 × 396.07
  4. Step 4: Simplify right side
    655.90x = 389,763.10
  5. Step 5: Solve for x
    x = 389,763.10/655.90
  6. Step 6: Final answer
    x = 594.24

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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.