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Finding the Fourth Proportional to 558.46, 836.60 and 365.50

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Solution

The fourth proportional to 558.46, 836.60 and 365.50 is: 547.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.46 : 836.60 = 365.50 : x
  2. Step 2: Convert to fraction form
    558.46/836.60 = 365.50/x
  3. Step 3: Cross multiply
    558.46x = 836.60 × 365.50
  4. Step 4: Simplify right side
    558.46x = 305,777.30
  5. Step 5: Solve for x
    x = 305,777.30/558.46
  6. Step 6: Final answer
    x = 547.54

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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.