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Finding the Fourth Proportional to 520.65, 779.54 and 263.61

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Solution

The fourth proportional to 520.65, 779.54 and 263.61 is: 394.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.65 : 779.54 = 263.61 : x
  2. Step 2: Convert to fraction form
    520.65/779.54 = 263.61/x
  3. Step 3: Cross multiply
    520.65x = 779.54 × 263.61
  4. Step 4: Simplify right side
    520.65x = 205,493.22
  5. Step 5: Solve for x
    x = 205,493.22/520.65
  6. Step 6: Final answer
    x = 394.69

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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.