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Finding the Fourth Proportional to 593.04, 817.39 and 406.21

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Solution

The fourth proportional to 593.04, 817.39 and 406.21 is: 559.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.04 : 817.39 = 406.21 : x
  2. Step 2: Convert to fraction form
    593.04/817.39 = 406.21/x
  3. Step 3: Cross multiply
    593.04x = 817.39 × 406.21
  4. Step 4: Simplify right side
    593.04x = 332,031.99
  5. Step 5: Solve for x
    x = 332,031.99/593.04
  6. Step 6: Final answer
    x = 559.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.