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Finding the Fourth Proportional to 522.55, 721.09 and 289.69

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Solution

The fourth proportional to 522.55, 721.09 and 289.69 is: 399.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.55 : 721.09 = 289.69 : x
  2. Step 2: Convert to fraction form
    522.55/721.09 = 289.69/x
  3. Step 3: Cross multiply
    522.55x = 721.09 × 289.69
  4. Step 4: Simplify right side
    522.55x = 208,892.56
  5. Step 5: Solve for x
    x = 208,892.56/522.55
  6. Step 6: Final answer
    x = 399.76

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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.