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Finding the Fourth Proportional to 523.69, 722.09 and 491.91

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Solution

The fourth proportional to 523.69, 722.09 and 491.91 is: 678.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.69 : 722.09 = 491.91 : x
  2. Step 2: Convert to fraction form
    523.69/722.09 = 491.91/x
  3. Step 3: Cross multiply
    523.69x = 722.09 × 491.91
  4. Step 4: Simplify right side
    523.69x = 355,203.29
  5. Step 5: Solve for x
    x = 355,203.29/523.69
  6. Step 6: Final answer
    x = 678.27

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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.