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Finding the Fourth Proportional to 593.62, 890.56 and 182.86

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Solution

The fourth proportional to 593.62, 890.56 and 182.86 is: 274.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.62 : 890.56 = 182.86 : x
  2. Step 2: Convert to fraction form
    593.62/890.56 = 182.86/x
  3. Step 3: Cross multiply
    593.62x = 890.56 × 182.86
  4. Step 4: Simplify right side
    593.62x = 162,847.80
  5. Step 5: Solve for x
    x = 162,847.80/593.62
  6. Step 6: Final answer
    x = 274.33

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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.