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Finding the Fourth Proportional to 520.76, 780.48 and 195.80

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Solution

The fourth proportional to 520.76, 780.48 and 195.80 is: 293.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.76 : 780.48 = 195.80 : x
  2. Step 2: Convert to fraction form
    520.76/780.48 = 195.80/x
  3. Step 3: Cross multiply
    520.76x = 780.48 × 195.80
  4. Step 4: Simplify right side
    520.76x = 152,817.98
  5. Step 5: Solve for x
    x = 152,817.98/520.76
  6. Step 6: Final answer
    x = 293.45

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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.