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Finding the Fourth Proportional to 520.67, 780.53 and 195.82

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Solution

The fourth proportional to 520.67, 780.53 and 195.82 is: 293.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.67 : 780.53 = 195.82 : x
  2. Step 2: Convert to fraction form
    520.67/780.53 = 195.82/x
  3. Step 3: Cross multiply
    520.67x = 780.53 × 195.82
  4. Step 4: Simplify right side
    520.67x = 152,838.50
  5. Step 5: Solve for x
    x = 152,838.50/520.67
  6. Step 6: Final answer
    x = 293.54

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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.