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Finding the Fourth Proportional to 593.06, 817.02 and 494.62

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Solution

The fourth proportional to 593.06, 817.02 and 494.62 is: 681.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.06 : 817.02 = 494.62 : x
  2. Step 2: Convert to fraction form
    593.06/817.02 = 494.62/x
  3. Step 3: Cross multiply
    593.06x = 817.02 × 494.62
  4. Step 4: Simplify right side
    593.06x = 404,114.43
  5. Step 5: Solve for x
    x = 404,114.43/593.06
  6. Step 6: Final answer
    x = 681.41

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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.