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Finding the Fourth Proportional to 523.72, 721.14 and 412.84

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Solution

The fourth proportional to 523.72, 721.14 and 412.84 is: 568.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.72 : 721.14 = 412.84 : x
  2. Step 2: Convert to fraction form
    523.72/721.14 = 412.84/x
  3. Step 3: Cross multiply
    523.72x = 721.14 × 412.84
  4. Step 4: Simplify right side
    523.72x = 297,715.44
  5. Step 5: Solve for x
    x = 297,715.44/523.72
  6. Step 6: Final answer
    x = 568.46

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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.