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Finding the Fourth Proportional to 559.01, 838.02 and 193.54

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Solution

The fourth proportional to 559.01, 838.02 and 193.54 is: 290.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.01 : 838.02 = 193.54 : x
  2. Step 2: Convert to fraction form
    559.01/838.02 = 193.54/x
  3. Step 3: Cross multiply
    559.01x = 838.02 × 193.54
  4. Step 4: Simplify right side
    559.01x = 162,190.39
  5. Step 5: Solve for x
    x = 162,190.39/559.01
  6. Step 6: Final answer
    x = 290.14

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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.