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Finding the Fourth Proportional to 519.74, 779.64 and 195.10

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Solution

The fourth proportional to 519.74, 779.64 and 195.10 is: 292.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.74 : 779.64 = 195.10 : x
  2. Step 2: Convert to fraction form
    519.74/779.64 = 195.10/x
  3. Step 3: Cross multiply
    519.74x = 779.64 × 195.10
  4. Step 4: Simplify right side
    519.74x = 152,105.81
  5. Step 5: Solve for x
    x = 152,105.81/519.74
  6. Step 6: Final answer
    x = 292.66

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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.