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Finding the Fourth Proportional to 593.14, 818.47 and 331.14

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Solution

The fourth proportional to 593.14, 818.47 and 331.14 is: 456.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.14 : 818.47 = 331.14 : x
  2. Step 2: Convert to fraction form
    593.14/818.47 = 331.14/x
  3. Step 3: Cross multiply
    593.14x = 818.47 × 331.14
  4. Step 4: Simplify right side
    593.14x = 271,028.16
  5. Step 5: Solve for x
    x = 271,028.16/593.14
  6. Step 6: Final answer
    x = 456.94

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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.