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Finding the Fourth Proportional to 593.11, 818.21 and 406.86

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Solution

The fourth proportional to 593.11, 818.21 and 406.86 is: 561.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.11 : 818.21 = 406.86 : x
  2. Step 2: Convert to fraction form
    593.11/818.21 = 406.86/x
  3. Step 3: Cross multiply
    593.11x = 818.21 × 406.86
  4. Step 4: Simplify right side
    593.11x = 332,896.92
  5. Step 5: Solve for x
    x = 332,896.92/593.11
  6. Step 6: Final answer
    x = 561.27

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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.