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Finding the Fourth Proportional to 520.17, 779.78 and 195.32

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Solution

The fourth proportional to 520.17, 779.78 and 195.32 is: 292.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.17 : 779.78 = 195.32 : x
  2. Step 2: Convert to fraction form
    520.17/779.78 = 195.32/x
  3. Step 3: Cross multiply
    520.17x = 779.78 × 195.32
  4. Step 4: Simplify right side
    520.17x = 152,301.75
  5. Step 5: Solve for x
    x = 152,301.75/520.17
  6. Step 6: Final answer
    x = 292.79

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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.