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Finding the Fourth Proportional to 522.61, 721.20 and 289.73

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Solution

The fourth proportional to 522.61, 721.20 and 289.73 is: 399.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.61 : 721.20 = 289.73 : x
  2. Step 2: Convert to fraction form
    522.61/721.20 = 289.73/x
  3. Step 3: Cross multiply
    522.61x = 721.20 × 289.73
  4. Step 4: Simplify right side
    522.61x = 208,955.08
  5. Step 5: Solve for x
    x = 208,955.08/522.61
  6. Step 6: Final answer
    x = 399.83

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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.