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Finding the Fourth Proportional to 523.81, 722.13 and 376.18

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Solution

The fourth proportional to 523.81, 722.13 and 376.18 is: 518.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.81 : 722.13 = 376.18 : x
  2. Step 2: Convert to fraction form
    523.81/722.13 = 376.18/x
  3. Step 3: Cross multiply
    523.81x = 722.13 × 376.18
  4. Step 4: Simplify right side
    523.81x = 271,650.86
  5. Step 5: Solve for x
    x = 271,650.86/523.81
  6. Step 6: Final answer
    x = 518.61

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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.