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Finding the Fourth Proportional to 523.71, 721.77 and 365.82

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Solution

The fourth proportional to 523.71, 721.77 and 365.82 is: 504.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.71 : 721.77 = 365.82 : x
  2. Step 2: Convert to fraction form
    523.71/721.77 = 365.82/x
  3. Step 3: Cross multiply
    523.71x = 721.77 × 365.82
  4. Step 4: Simplify right side
    523.71x = 264,037.90
  5. Step 5: Solve for x
    x = 264,037.90/523.71
  6. Step 6: Final answer
    x = 504.17

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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.