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Finding the Fourth Proportional to 522.69, 721.32 and 289.82

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Solution

The fourth proportional to 522.69, 721.32 and 289.82 is: 399.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.69 : 721.32 = 289.82 : x
  2. Step 2: Convert to fraction form
    522.69/721.32 = 289.82/x
  3. Step 3: Cross multiply
    522.69x = 721.32 × 289.82
  4. Step 4: Simplify right side
    522.69x = 209,047.91
  5. Step 5: Solve for x
    x = 209,047.91/522.69
  6. Step 6: Final answer
    x = 399.95

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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.