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Finding the Fourth Proportional to 655.50, 980.82 and 410.88

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Solution

The fourth proportional to 655.50, 980.82 and 410.88 is: 614.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.50 : 980.82 = 410.88 : x
  2. Step 2: Convert to fraction form
    655.50/980.82 = 410.88/x
  3. Step 3: Cross multiply
    655.50x = 980.82 × 410.88
  4. Step 4: Simplify right side
    655.50x = 402,999.32
  5. Step 5: Solve for x
    x = 402,999.32/655.50
  6. Step 6: Final answer
    x = 614.80

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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.