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Finding the Fourth Proportional to 520.09, 779.93 and 195.48

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Solution

The fourth proportional to 520.09, 779.93 and 195.48 is: 293.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.09 : 779.93 = 195.48 : x
  2. Step 2: Convert to fraction form
    520.09/779.93 = 195.48/x
  3. Step 3: Cross multiply
    520.09x = 779.93 × 195.48
  4. Step 4: Simplify right side
    520.09x = 152,460.47
  5. Step 5: Solve for x
    x = 152,460.47/520.09
  6. Step 6: Final answer
    x = 293.14

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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.