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Finding the Fourth Proportional to 522.69, 721.56 and 404.39

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Solution

The fourth proportional to 522.69, 721.56 and 404.39 is: 558.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.69 : 721.56 = 404.39 : x
  2. Step 2: Convert to fraction form
    522.69/721.56 = 404.39/x
  3. Step 3: Cross multiply
    522.69x = 721.56 × 404.39
  4. Step 4: Simplify right side
    522.69x = 291,791.65
  5. Step 5: Solve for x
    x = 291,791.65/522.69
  6. Step 6: Final answer
    x = 558.26

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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.