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Finding the Fourth Proportional to 593.80, 823.27 and 559.24

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Solution

The fourth proportional to 593.80, 823.27 and 559.24 is: 775.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.80 : 823.27 = 559.24 : x
  2. Step 2: Convert to fraction form
    593.80/823.27 = 559.24/x
  3. Step 3: Cross multiply
    593.80x = 823.27 × 559.24
  4. Step 4: Simplify right side
    593.80x = 460,405.51
  5. Step 5: Solve for x
    x = 460,405.51/593.80
  6. Step 6: Final answer
    x = 775.35

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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.