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Finding the Fourth Proportional to 593.05, 817.77 and 371.74

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Solution

The fourth proportional to 593.05, 817.77 and 371.74 is: 512.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.05 : 817.77 = 371.74 : x
  2. Step 2: Convert to fraction form
    593.05/817.77 = 371.74/x
  3. Step 3: Cross multiply
    593.05x = 817.77 × 371.74
  4. Step 4: Simplify right side
    593.05x = 303,997.82
  5. Step 5: Solve for x
    x = 303,997.82/593.05
  6. Step 6: Final answer
    x = 512.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.