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Finding the Fourth Proportional to 523.80, 722.84 and 287.75

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Solution

The fourth proportional to 523.80, 722.84 and 287.75 is: 397.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.80 : 722.84 = 287.75 : x
  2. Step 2: Convert to fraction form
    523.80/722.84 = 287.75/x
  3. Step 3: Cross multiply
    523.80x = 722.84 × 287.75
  4. Step 4: Simplify right side
    523.80x = 207,997.21
  5. Step 5: Solve for x
    x = 207,997.21/523.80
  6. Step 6: Final answer
    x = 397.09

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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.