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Finding the Fourth Proportional to 558.38, 837.65 and 211.84

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Solution

The fourth proportional to 558.38, 837.65 and 211.84 is: 317.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.38 : 837.65 = 211.84 : x
  2. Step 2: Convert to fraction form
    558.38/837.65 = 211.84/x
  3. Step 3: Cross multiply
    558.38x = 837.65 × 211.84
  4. Step 4: Simplify right side
    558.38x = 177,444.62
  5. Step 5: Solve for x
    x = 177,444.62/558.38
  6. Step 6: Final answer
    x = 317.78

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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.