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Finding the Fourth Proportional to 605.66, 906.46 and 532.49

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Solution

The fourth proportional to 605.66, 906.46 and 532.49 is: 796.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.66 : 906.46 = 532.49 : x
  2. Step 2: Convert to fraction form
    605.66/906.46 = 532.49/x
  3. Step 3: Cross multiply
    605.66x = 906.46 × 532.49
  4. Step 4: Simplify right side
    605.66x = 482,673.69
  5. Step 5: Solve for x
    x = 482,673.69/605.66
  6. Step 6: Final answer
    x = 796.94

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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.