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Finding the Fourth Proportional to 593.09, 817.70 and 406.26

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Solution

The fourth proportional to 593.09, 817.70 and 406.26 is: 560.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.09 : 817.70 = 406.26 : x
  2. Step 2: Convert to fraction form
    593.09/817.70 = 406.26/x
  3. Step 3: Cross multiply
    593.09x = 817.70 × 406.26
  4. Step 4: Simplify right side
    593.09x = 332,198.80
  5. Step 5: Solve for x
    x = 332,198.80/593.09
  6. Step 6: Final answer
    x = 560.12

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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.