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Finding the Fourth Proportional to 663.20, 914.99 and 414.43

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Solution

The fourth proportional to 663.20, 914.99 and 414.43 is: 571.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.20 : 914.99 = 414.43 : x
  2. Step 2: Convert to fraction form
    663.20/914.99 = 414.43/x
  3. Step 3: Cross multiply
    663.20x = 914.99 × 414.43
  4. Step 4: Simplify right side
    663.20x = 379,197.23
  5. Step 5: Solve for x
    x = 379,197.23/663.20
  6. Step 6: Final answer
    x = 571.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.