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Finding the Fourth Proportional to 558.80, 771.27 and 337.89

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Solution

The fourth proportional to 558.80, 771.27 and 337.89 is: 466.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.80 : 771.27 = 337.89 : x
  2. Step 2: Convert to fraction form
    558.80/771.27 = 337.89/x
  3. Step 3: Cross multiply
    558.80x = 771.27 × 337.89
  4. Step 4: Simplify right side
    558.80x = 260,604.42
  5. Step 5: Solve for x
    x = 260,604.42/558.80
  6. Step 6: Final answer
    x = 466.37

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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.