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Finding the Fourth Proportional to 589.72, 809.49 and 522.76

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Solution

The fourth proportional to 589.72, 809.49 and 522.76 is: 717.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.72 : 809.49 = 522.76 : x
  2. Step 2: Convert to fraction form
    589.72/809.49 = 522.76/x
  3. Step 3: Cross multiply
    589.72x = 809.49 × 522.76
  4. Step 4: Simplify right side
    589.72x = 423,168.99
  5. Step 5: Solve for x
    x = 423,168.99/589.72
  6. Step 6: Final answer
    x = 717.58

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.