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Finding the Fourth Proportional to 520.02, 779.92 and 195.42

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Solution

The fourth proportional to 520.02, 779.92 and 195.42 is: 293.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.02 : 779.92 = 195.42 : x
  2. Step 2: Convert to fraction form
    520.02/779.92 = 195.42/x
  3. Step 3: Cross multiply
    520.02x = 779.92 × 195.42
  4. Step 4: Simplify right side
    520.02x = 152,411.97
  5. Step 5: Solve for x
    x = 152,411.97/520.02
  6. Step 6: Final answer
    x = 293.09

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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.