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Finding the Fourth Proportional to 522.67, 721.26 and 289.79

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Solution

The fourth proportional to 522.67, 721.26 and 289.79 is: 399.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.67 : 721.26 = 289.79 : x
  2. Step 2: Convert to fraction form
    522.67/721.26 = 289.79/x
  3. Step 3: Cross multiply
    522.67x = 721.26 × 289.79
  4. Step 4: Simplify right side
    522.67x = 209,013.94
  5. Step 5: Solve for x
    x = 209,013.94/522.67
  6. Step 6: Final answer
    x = 399.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.