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Finding the Fourth Proportional to 663.06, 914.42 and 414.41

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Solution

The fourth proportional to 663.06, 914.42 and 414.41 is: 571.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.06 : 914.42 = 414.41 : x
  2. Step 2: Convert to fraction form
    663.06/914.42 = 414.41/x
  3. Step 3: Cross multiply
    663.06x = 914.42 × 414.41
  4. Step 4: Simplify right side
    663.06x = 378,938.15
  5. Step 5: Solve for x
    x = 378,938.15/663.06
  6. Step 6: Final answer
    x = 571.50

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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.