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Finding the Fourth Proportional to 523.62, 721.44 and 412.92

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Solution

The fourth proportional to 523.62, 721.44 and 412.92 is: 568.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.62 : 721.44 = 412.92 : x
  2. Step 2: Convert to fraction form
    523.62/721.44 = 412.92/x
  3. Step 3: Cross multiply
    523.62x = 721.44 × 412.92
  4. Step 4: Simplify right side
    523.62x = 297,897.00
  5. Step 5: Solve for x
    x = 297,897.00/523.62
  6. Step 6: Final answer
    x = 568.92

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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.