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Finding the Fourth Proportional to 522.67, 721.27 and 301.65

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Solution

The fourth proportional to 522.67, 721.27 and 301.65 is: 416.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.67 : 721.27 = 301.65 : x
  2. Step 2: Convert to fraction form
    522.67/721.27 = 301.65/x
  3. Step 3: Cross multiply
    522.67x = 721.27 × 301.65
  4. Step 4: Simplify right side
    522.67x = 217,571.10
  5. Step 5: Solve for x
    x = 217,571.10/522.67
  6. Step 6: Final answer
    x = 416.27

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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.