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Finding the Fourth Proportional to 558.85, 838.66 and 193.64

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Solution

The fourth proportional to 558.85, 838.66 and 193.64 is: 290.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.85 : 838.66 = 193.64 : x
  2. Step 2: Convert to fraction form
    558.85/838.66 = 193.64/x
  3. Step 3: Cross multiply
    558.85x = 838.66 × 193.64
  4. Step 4: Simplify right side
    558.85x = 162,398.12
  5. Step 5: Solve for x
    x = 162,398.12/558.85
  6. Step 6: Final answer
    x = 290.59

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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.