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Finding the Fourth Proportional to 655.02, 980.42 and 346.43

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Solution

The fourth proportional to 655.02, 980.42 and 346.43 is: 518.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.02 : 980.42 = 346.43 : x
  2. Step 2: Convert to fraction form
    655.02/980.42 = 346.43/x
  3. Step 3: Cross multiply
    655.02x = 980.42 × 346.43
  4. Step 4: Simplify right side
    655.02x = 339,640.27
  5. Step 5: Solve for x
    x = 339,640.27/655.02
  6. Step 6: Final answer
    x = 518.52

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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.