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Finding the Fourth Proportional to 592.58, 817.92 and 396.02

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Solution

The fourth proportional to 592.58, 817.92 and 396.02 is: 546.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.58 : 817.92 = 396.02 : x
  2. Step 2: Convert to fraction form
    592.58/817.92 = 396.02/x
  3. Step 3: Cross multiply
    592.58x = 817.92 × 396.02
  4. Step 4: Simplify right side
    592.58x = 323,912.68
  5. Step 5: Solve for x
    x = 323,912.68/592.58
  6. Step 6: Final answer
    x = 546.61

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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.