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Finding the Fourth Proportional to 605.76, 908 and 434.24

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Solution

The fourth proportional to 605.76, 908 and 434.24 is: 650.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.76 : 908 = 434.24 : x
  2. Step 2: Convert to fraction form
    605.76/908 = 434.24/x
  3. Step 3: Cross multiply
    605.76x = 908 × 434.24
  4. Step 4: Simplify right side
    605.76x = 394,289.92
  5. Step 5: Solve for x
    x = 394,289.92/605.76
  6. Step 6: Final answer
    x = 650.90

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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.