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Finding the Fourth Proportional to 522.37, 720.71 and 301.29

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Solution

The fourth proportional to 522.37, 720.71 and 301.29 is: 415.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.37 : 720.71 = 301.29 : x
  2. Step 2: Convert to fraction form
    522.37/720.71 = 301.29/x
  3. Step 3: Cross multiply
    522.37x = 720.71 × 301.29
  4. Step 4: Simplify right side
    522.37x = 217,141.21
  5. Step 5: Solve for x
    x = 217,141.21/522.37
  6. Step 6: Final answer
    x = 415.68

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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.