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Finding the Fourth Proportional to 523.05, 720.97 and 412.35

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Solution

The fourth proportional to 523.05, 720.97 and 412.35 is: 568.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.05 : 720.97 = 412.35 : x
  2. Step 2: Convert to fraction form
    523.05/720.97 = 412.35/x
  3. Step 3: Cross multiply
    523.05x = 720.97 × 412.35
  4. Step 4: Simplify right side
    523.05x = 297,291.98
  5. Step 5: Solve for x
    x = 297,291.98/523.05
  6. Step 6: Final answer
    x = 568.38

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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.