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Finding the Fourth Proportional to 593.60, 816.57 and 482.84

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Solution

The fourth proportional to 593.60, 816.57 and 482.84 is: 664.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.60 : 816.57 = 482.84 : x
  2. Step 2: Convert to fraction form
    593.60/816.57 = 482.84/x
  3. Step 3: Cross multiply
    593.60x = 816.57 × 482.84
  4. Step 4: Simplify right side
    593.60x = 394,268.58
  5. Step 5: Solve for x
    x = 394,268.58/593.60
  6. Step 6: Final answer
    x = 664.20

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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.