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Finding the Fourth Proportional to 593.27, 822.30 and 559.09

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Solution

The fourth proportional to 593.27, 822.30 and 559.09 is: 774.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.27 : 822.30 = 559.09 : x
  2. Step 2: Convert to fraction form
    593.27/822.30 = 559.09/x
  3. Step 3: Cross multiply
    593.27x = 822.30 × 559.09
  4. Step 4: Simplify right side
    593.27x = 459,739.71
  5. Step 5: Solve for x
    x = 459,739.71/593.27
  6. Step 6: Final answer
    x = 774.92

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.