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Finding the Fourth Proportional to 523.26, 722.16 and 313.41

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Solution

The fourth proportional to 523.26, 722.16 and 313.41 is: 432.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.26 : 722.16 = 313.41 : x
  2. Step 2: Convert to fraction form
    523.26/722.16 = 313.41/x
  3. Step 3: Cross multiply
    523.26x = 722.16 × 313.41
  4. Step 4: Simplify right side
    523.26x = 226,330.60
  5. Step 5: Solve for x
    x = 226,330.60/523.26
  6. Step 6: Final answer
    x = 432.54

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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.