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Finding the Fourth Proportional to 523.44, 721.89 and 411.47

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Solution

The fourth proportional to 523.44, 721.89 and 411.47 is: 567.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.44 : 721.89 = 411.47 : x
  2. Step 2: Convert to fraction form
    523.44/721.89 = 411.47/x
  3. Step 3: Cross multiply
    523.44x = 721.89 × 411.47
  4. Step 4: Simplify right side
    523.44x = 297,032.47
  5. Step 5: Solve for x
    x = 297,032.47/523.44
  6. Step 6: Final answer
    x = 567.46

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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.