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Finding the Fourth Proportional to 593.05, 889.41 and 203.16

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Solution

The fourth proportional to 593.05, 889.41 and 203.16 is: 304.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.05 : 889.41 = 203.16 : x
  2. Step 2: Convert to fraction form
    593.05/889.41 = 203.16/x
  3. Step 3: Cross multiply
    593.05x = 889.41 × 203.16
  4. Step 4: Simplify right side
    593.05x = 180,693.78
  5. Step 5: Solve for x
    x = 180,693.78/593.05
  6. Step 6: Final answer
    x = 304.69

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