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Finding the Fourth Proportional to 523.07, 721.85 and 287.03

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Solution

The fourth proportional to 523.07, 721.85 and 287.03 is: 396.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.07 : 721.85 = 287.03 : x
  2. Step 2: Convert to fraction form
    523.07/721.85 = 287.03/x
  3. Step 3: Cross multiply
    523.07x = 721.85 × 287.03
  4. Step 4: Simplify right side
    523.07x = 207,187.56
  5. Step 5: Solve for x
    x = 207,187.56/523.07
  6. Step 6: Final answer
    x = 396.10

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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.