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Finding the Fourth Proportional to 593.82, 889.80 and 411.57

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Solution

The fourth proportional to 593.82, 889.80 and 411.57 is: 616.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.82 : 889.80 = 411.57 : x
  2. Step 2: Convert to fraction form
    593.82/889.80 = 411.57/x
  3. Step 3: Cross multiply
    593.82x = 889.80 × 411.57
  4. Step 4: Simplify right side
    593.82x = 366,214.99
  5. Step 5: Solve for x
    x = 366,214.99/593.82
  6. Step 6: Final answer
    x = 616.71

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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.