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Finding the Fourth Proportional to 593.04, 889.38 and 182.08

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Solution

The fourth proportional to 593.04, 889.38 and 182.08 is: 273.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.04 : 889.38 = 182.08 : x
  2. Step 2: Convert to fraction form
    593.04/889.38 = 182.08/x
  3. Step 3: Cross multiply
    593.04x = 889.38 × 182.08
  4. Step 4: Simplify right side
    593.04x = 161,938.31
  5. Step 5: Solve for x
    x = 161,938.31/593.04
  6. Step 6: Final answer
    x = 273.06

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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.