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Finding the Fourth Proportional to 662.86, 914.92 and 414.03

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Solution

The fourth proportional to 662.86, 914.92 and 414.03 is: 571.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.86 : 914.92 = 414.03 : x
  2. Step 2: Convert to fraction form
    662.86/914.92 = 414.03/x
  3. Step 3: Cross multiply
    662.86x = 914.92 × 414.03
  4. Step 4: Simplify right side
    662.86x = 378,804.33
  5. Step 5: Solve for x
    x = 378,804.33/662.86
  6. Step 6: Final answer
    x = 571.47

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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.