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Finding the Fourth Proportional to 605.71, 834.23 and 522.79

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Solution

The fourth proportional to 605.71, 834.23 and 522.79 is: 720.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.71 : 834.23 = 522.79 : x
  2. Step 2: Convert to fraction form
    605.71/834.23 = 522.79/x
  3. Step 3: Cross multiply
    605.71x = 834.23 × 522.79
  4. Step 4: Simplify right side
    605.71x = 436,123.38
  5. Step 5: Solve for x
    x = 436,123.38/605.71
  6. Step 6: Final answer
    x = 720.02

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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.