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Finding the Fourth Proportional to 520.24, 779.82 and 245.92

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Solution

The fourth proportional to 520.24, 779.82 and 245.92 is: 368.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.24 : 779.82 = 245.92 : x
  2. Step 2: Convert to fraction form
    520.24/779.82 = 245.92/x
  3. Step 3: Cross multiply
    520.24x = 779.82 × 245.92
  4. Step 4: Simplify right side
    520.24x = 191,773.33
  5. Step 5: Solve for x
    x = 191,773.33/520.24
  6. Step 6: Final answer
    x = 368.62

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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.