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Finding the Fourth Proportional to 593.53, 890.36 and 203.53

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Solution

The fourth proportional to 593.53, 890.36 and 203.53 is: 305.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.53 : 890.36 = 203.53 : x
  2. Step 2: Convert to fraction form
    593.53/890.36 = 203.53/x
  3. Step 3: Cross multiply
    593.53x = 890.36 × 203.53
  4. Step 4: Simplify right side
    593.53x = 181,214.97
  5. Step 5: Solve for x
    x = 181,214.97/593.53
  6. Step 6: Final answer
    x = 305.32

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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.