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Finding the Fourth Proportional to 558.32, 836.80 and 396.04

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Solution

The fourth proportional to 558.32, 836.80 and 396.04 is: 593.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.32 : 836.80 = 396.04 : x
  2. Step 2: Convert to fraction form
    558.32/836.80 = 396.04/x
  3. Step 3: Cross multiply
    558.32x = 836.80 × 396.04
  4. Step 4: Simplify right side
    558.32x = 331,406.27
  5. Step 5: Solve for x
    x = 331,406.27/558.32
  6. Step 6: Final answer
    x = 593.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.