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Finding the Fourth Proportional to 593.68, 889.43 and 536.27

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Solution

The fourth proportional to 593.68, 889.43 and 536.27 is: 803.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.68 : 889.43 = 536.27 : x
  2. Step 2: Convert to fraction form
    593.68/889.43 = 536.27/x
  3. Step 3: Cross multiply
    593.68x = 889.43 × 536.27
  4. Step 4: Simplify right side
    593.68x = 476,975.52
  5. Step 5: Solve for x
    x = 476,975.52/593.68
  6. Step 6: Final answer
    x = 803.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.