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Finding the Fourth Proportional to 523.69, 722.68 and 313.97

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Solution

The fourth proportional to 523.69, 722.68 and 313.97 is: 433.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.69 : 722.68 = 313.97 : x
  2. Step 2: Convert to fraction form
    523.69/722.68 = 313.97/x
  3. Step 3: Cross multiply
    523.69x = 722.68 × 313.97
  4. Step 4: Simplify right side
    523.69x = 226,895.44
  5. Step 5: Solve for x
    x = 226,895.44/523.69
  6. Step 6: Final answer
    x = 433.26

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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.