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Finding the Fourth Proportional to 655.08, 982.97 and 435.17

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Solution

The fourth proportional to 655.08, 982.97 and 435.17 is: 652.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.08 : 982.97 = 435.17 : x
  2. Step 2: Convert to fraction form
    655.08/982.97 = 435.17/x
  3. Step 3: Cross multiply
    655.08x = 982.97 × 435.17
  4. Step 4: Simplify right side
    655.08x = 427,759.05
  5. Step 5: Solve for x
    x = 427,759.05/655.08
  6. Step 6: Final answer
    x = 652.99

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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.