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Finding the Fourth Proportional to 593.04, 817.56 and 396.12

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Solution

The fourth proportional to 593.04, 817.56 and 396.12 is: 546.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.04 : 817.56 = 396.12 : x
  2. Step 2: Convert to fraction form
    593.04/817.56 = 396.12/x
  3. Step 3: Cross multiply
    593.04x = 817.56 × 396.12
  4. Step 4: Simplify right side
    593.04x = 323,851.87
  5. Step 5: Solve for x
    x = 323,851.87/593.04
  6. Step 6: Final answer
    x = 546.09

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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.