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Finding the Fourth Proportional to 523.22, 721.56 and 412.50

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Solution

The fourth proportional to 523.22, 721.56 and 412.50 is: 568.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.22 : 721.56 = 412.50 : x
  2. Step 2: Convert to fraction form
    523.22/721.56 = 412.50/x
  3. Step 3: Cross multiply
    523.22x = 721.56 × 412.50
  4. Step 4: Simplify right side
    523.22x = 297,643.50
  5. Step 5: Solve for x
    x = 297,643.50/523.22
  6. Step 6: Final answer
    x = 568.87

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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.