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Finding the Fourth Proportional to 520.22, 780.42 and 195.54

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Solution

The fourth proportional to 520.22, 780.42 and 195.54 is: 293.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.22 : 780.42 = 195.54 : x
  2. Step 2: Convert to fraction form
    520.22/780.42 = 195.54/x
  3. Step 3: Cross multiply
    520.22x = 780.42 × 195.54
  4. Step 4: Simplify right side
    520.22x = 152,603.33
  5. Step 5: Solve for x
    x = 152,603.33/520.22
  6. Step 6: Final answer
    x = 293.34

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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.